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1 Khakshournia, Samad The Art of Gluing Space-Time Manifolds I12922 2023 eBook  
2 Bargue??o, Pedro The Geroch-Held-Penrose Calculus I12839 2023 eBook  
3 Bambi, Cosimo Regular Black Holes I12789 2023 eBook  
4 Kenath, Arun Physics of Gravitational Waves I12635 2023 eBook  
5 Ramond, Paul The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity I12633 2023 eBook  
6 Oloff, Rainer The Geometry of Spacetime I12629 2023 eBook  
7 Friedman, Yaakov A Novel Approach to Relativistic Dynamics I12611 2023 eBook  
8 Poliakovsky, Arkady Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics I12601 2023 eBook  
9 Cunillera, Francesc Dark Energy I12575 2023 eBook  
10 Trad Nery, Marina Laser Power Stabilization via Radiation Pressure I12548 2022 Book  
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TitleThe Art of Gluing Space-Time Manifolds : Methods and Applications
Author(s)Khakshournia, Samad;Mansouri, Reza
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionVIII, 122 p. 1 illus : online resource
Abstract NoteThis concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now
ISBN,Price9783031486128
Keyword(s)1. Classical and Quantum Gravity 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. COSMOLOGY 5. DIFFERENTIAL GEOMETRY 6. EBOOK - SPRINGER 7. GENERAL RELATIVITY 8. GENERAL RELATIVITY (PHYSICS) 9. GEOMETRY, DIFFERENTIAL 10. GLOBAL ANALYSIS (MATHEMATICS) 11. Global Analysis and Analysis on Manifolds 12. GRAVITATION 13. Manifolds (Mathematics)
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TitleThe Geroch-Held-Penrose Calculus : Fundamentals and Applications
Author(s)Bargue??o, Pedro;Contreras, Ernesto
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXVI, 70 p. 2 illus : online resource
Abstract NoteThis book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity. Specifically, the book shows in detail the power of the calculus when dealing with spherically symmetric spacetimes. After introducing the basics, a new look at all the classical spherically symmetric black hole solutions is given within the GHP formalism. This is then employed to give new insights into the Tolman-Oppenheimer-Volkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a re-writing of some essential features of black hole thermodynamics within the GHP formalism is performed. The book is based on the authors' lecture notes, used in their undergraduate and graduate lectures and while supervising their upper undergraduate and graduate students. To fully benefit from this concise primer, readers only need an undergraduate background in general relativity
ISBN,Price9783031429484
Keyword(s)1. EBOOK - SPRINGER 2. Foundations of Physics and Cosmology 3. GENERAL RELATIVITY 4. GENERAL RELATIVITY (PHYSICS) 5. GLOBAL ANALYSIS (MATHEMATICS) 6. Global Analysis and Analysis on Manifolds 7. Integral Transforms and Operational Calculus 8. Manifolds (Mathematics) 9. MATHEMATICAL ANALYSIS 10. MATHEMATICAL PHYSICS 11. SCIENCE 12. Theoretical, Mathematical and Computational Physics
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TitleRegular Black Holes : Towards a New Paradigm of Gravitational Collapse
Author(s)Bambi, Cosimo
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionX, 499 p. 71 illus., 47 illus. in color : online resource
Abstract NoteBlack holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of black holes in the Universe. However, general relativity predicts that at the center of black holes there are spacetime singularities, where predictability is lost and standard physics breaks down. It is widely believed that spacetime singularities are a symptom of the limitations of general relativity and must be solved within a theory of quantum gravity. Since we do not have yet any mature and reliable candidate for a quantum gravity theory, researchers have studied toy-models of singularity-free black holes and of singularity-free gravitational collapses in order to explore possible implications of the yet unknown theory of quantum gravity. This book reviews all main models of regular black holes and non-singular gravitational collapses proposed in the literature, and discuss the theoretical and observational implications of these scenarios
ISBN,Price9789819915965
Keyword(s)1. ASTRONOMY 2. Astronomy, Observations and Techniques 3. ASTROPHYSICS 4. COSMOLOGY 5. EBOOK - SPRINGER 6. GENERAL RELATIVITY 7. GENERAL RELATIVITY (PHYSICS)
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TitlePhysics of Gravitational Waves : Sources and Detection Methods
Author(s)Kenath, Arun;Sivaram, Chandra
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionVIII, 56 p. 7 illus., 3 illus. in color : online resource
Abstract NoteThis book provides a concise introduction to the physics of gravitational waves. It is aimed at graduate-level students and PhD scholars. Ever since the discovery of gravitational waves in 2016, gravitational wave astronomy has been adding to our understanding of the universe. Gravitational waves have been detected in the past few years from several transient events such as merging stellar-mass black holes, binary neutron stars, etc. These waves have frequencies in a band ranging from a few hundred hertz to around a kilohertz to which LIGO type instruments are sensitive. LISA will be sensitive to much lower range of frequencies from SMBH mergers. Apart from these cataclysmic burst events, there are innumerable sources of radiation which are continuously emitting gravitational waves of all frequencies. These include a whole mass range of compact binary and isolated compact objects and close planetary stellar entities. This book discusses the gravitational wave backgroundproduced in typical frequency ranges from such sources emitting over a Hubble time and the fluctuations in the h values measured in the usual devices. Also discussed are the high-frequency thermal background gravitational radiation from hot stellar interiors and newly formed compact objects. The reader will also learn how gravitational waves provide a testing tool for various theories of gravity, i.e. general relativity and extended theories of gravity, and will be the definitive test for general relativity
ISBN,Price9783031304637
Keyword(s)1. COSMOLOGY 2. EBOOK - SPRINGER 3. GENERAL RELATIVITY 4. GENERAL RELATIVITY (PHYSICS) 5. GRAVITATION 6. GRAVITATIONAL PHYSICS
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TitleThe First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity
Author(s)Ramond, Paul
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXVI, 393 p. 77 illus., 69 illus. in color : online resource
Abstract NoteThe thesis tackles two distinct problems of great interest in gravitational mechanics ??? one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author???s personality in a way that is rare in scientific writing, while never sacrificing academic rigor
ISBN,Price9783031179648
Keyword(s)1. ASTROPHYSICS 2. EBOOK - SPRINGER 3. GENERAL RELATIVITY 4. GENERAL RELATIVITY (PHYSICS) 5. GRAVITATION 6. GRAVITATIONAL PHYSICS 7. NEWTONIAN PHYSICS
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TitleThe Geometry of Spacetime : A Mathematical Introduction to Relativity Theory
Author(s)Oloff, Rainer
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXIX, 274 p. 50 illus., 1 illus. in color : online resource
Abstract NoteThis book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra
ISBN,Price9783031161391
Keyword(s)1. COSMOLOGY 2. EBOOK - SPRINGER 3. Foundations of Physics and Cosmology 4. GENERAL RELATIVITY 5. GENERAL RELATIVITY (PHYSICS) 6. MATHEMATICAL PHYSICS 7. SCIENCE
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I12629     On Shelf    

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TitleA Novel Approach to Relativistic Dynamics : Integrating Gravity, Electromagnetism and Optics
Author(s)Friedman, Yaakov;Scarr, Tzvi
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 196 p. 60 illus., 54 illus. in color : online resource
Abstract NoteThis self-contained monograph provides a mathematically simple and physically meaningful model which unifies gravity, electromagnetism, optics and even some quantum behavior. The simplicity of the model is achieved by working in the frame of an inertial observer and by using a physically meaningful least action principle. The authors introduce an extension of the Principle of Inertia. This gives rise to a simple, physically meaningful action function. Visualizations of the geometryare obtained by plotting the action function. These visualizations may be used to compare the geometries of different types of fields. Moreover, a new understanding of the energy-momentum of a field emerges. The relativistic dynamics derived here properly describes motion of massive and massless objects under the influence of a gravitational and/or an electromagnetic field, and under the influence of isotropic media. The reader will learn how to compute theprecession of Mercury, the deflection of light, and the Shapiro time delay. Also covered is the relativistic motion of binary stars, including the generation of gravitational waves, a derivation of Snell's Law and a relativistic description of spin. We derive a complex-valued prepotential of an electromagnetic field. The prepotential is similar to the wave function in quantum mechanics. The mathematics is accessible to students after standard courses in multivariable calculus and linear algebra. For those unfamiliar with tensors and the calculus of variations, these topics are developed rigorously in the opening chapters. The unifying model presented here should prove useful to upper undergraduate and graduate students, as well as to seasoned researchers
ISBN,Price9783031252143
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK - SPRINGER 3. GENERAL RELATIVITY 4. GENERAL RELATIVITY (PHYSICS) 5. GRAVITATION 6. GRAVITATIONAL PHYSICS 7. MECHANICS 8. OPTICS 9. Optics and Photonics 10. QUANTUM ELECTRODYNAMICS 11. Quantum Electrodynamics, Relativistic and Many-body Calculations
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I12611     On Shelf    

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TitleLorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics
Author(s)Poliakovsky, Arkady
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionX, 189 p. 1 illus : online resource
Abstract NoteThis book investigates Lorentzian structures in the four-dimensional space-time, supplemented either by a covector field of the time-direction or by a scalar field of the global time. Furthermore, it proposes a new metrizable model of gravity. In contrast to the usual General Relativity theory, where all ten components of the symmetric pseudo-metric are independent variables, the gravity model presented here essentially depends only on a single four-covector field, and is restricted to have only three-independent components. However, the author proves that the gravitational field, governed by the proposed model and generated by some massive body, resting and spherically symmetric in some coordinate system, is given by a pseudo-metric that coincides with the well known Schwarzschild metric from General Relativity. The Maxwell equations and electrodynamics are also investigated in the framework of the proposed model. In particular, the covariant formulation of electrodynamics of moving dielectrics and para/diamagnetic media is derived
ISBN,Price9783031237621
Keyword(s)1. Classical and Quantum Gravity 2. EBOOK - SPRINGER 3. GENERAL RELATIVITY 4. GENERAL RELATIVITY (PHYSICS) 5. GRAVITATION 6. QUANTUM ELECTRODYNAMICS 7. Quantum Electrodynamics, Relativistic and Many-body Calculations
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I12601     On Shelf    

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TitleDark Energy : From EFTs to Supergravity
Author(s)Cunillera, Francesc
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXVII, 220 p. 22 illus., 11 illus. in color : online resource
Abstract NoteThis book addresses supergravity and supergravity-motivated effective field theories in the context of cosmological model building. Extracting information about quintessence from string theory has attracted much attention in the past few years. The question became more urgent very recently after the possibility of obtaining de Sitter space was called into question. Therefore, there is an interesting debate as to whether de Sitter space or, even, quintessence can be derived from a fundamental theory, string theory or otherwise. This is a very active field of research, and the topics covered in the book render this work very timely. Throughout the book, special care has been taken in demonstrating historical relevance of the field and describing the set of open questions motivating the state-of-the-art research. The first few chapters in each part provide a detailed review of standard perturbative and non-perturbative techniques in supergravity model building, as a way to preparethe reader for the more technical and original subsequent chapters. These early chapters also represent a self-contained review that would be useful for anyone planning to enter this challenging area of study. The subsequent chapters detail research in supergravity-motivated effective field theories, in the first part, and supergravity models, in the second part. One of the important conclusions in this book is that modelling quintessence in perturbative string theory is at least as challenging as modelling de Sitter, placing the wider programme on a collision course with observations
ISBN,Price9783031214684
Keyword(s)1. Classical and Quantum Gravity 2. COSMOLOGY 3. EBOOK - SPRINGER 4. GENERAL RELATIVITY 5. GENERAL RELATIVITY (PHYSICS) 6. GRAVITATION
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TitleLaser Power Stabilization via Radiation Pressure
Author(s)Trad Nery, Marina
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXIX, 154 p. 81 illus., 79 illus. in color : online resource
Abstract NoteThis book offers a comprehensive and complete description of a new scheme to stabilize the power of a laser on a level needed for high precision metrology experiments. The novel aspect of the scheme is sensing power fluctuations via the radiation pressure driven motion they induce on a micro-oscillator mirror. It is shown that the proposed technique can result in higher signals for power fluctuations than what is achieved by a direct power detection, and also that it enables the generation of a strong bright squeezed beam. The book starts with the basics of power stabilization and an overview on the current state of art. Then, detailed theoretical calculations are performed, and the advantages of the new scheme are highlighted. Finally, a proof-of-principle experiment is described and its results are analyzed in details. The success of the work presented here paves a way for achieving high power stability in future experiments and is of interest for high precision metrology experiments, like gravitational wave detectors, and optomechanical experiments. Nominated as an outstanding PhD thesis by the Gravitational Wave International Committee
ISBN,Price9783030958688
Keyword(s)1. ASTROPHYSICS 2. EBOOK 3. EBOOK - SPRINGER 4. GENERAL RELATIVITY 5. GENERAL RELATIVITY (PHYSICS) 6. GRAVITATION 7. GRAVITATIONAL PHYSICS 8. LASER 9. LASERS 10. OPTOELECTRONIC DEVICES
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