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 #  AuthorTitleAccn#YearItem Type Claims
1 Hans Ringstrom Cauchy problem in general relativity 026229 2009 Book  
2 Yvonne Choquet-Bruhat Introduction to general relativity, black holes and cosmology 026042 2015 Book  
3 Hans Ringstrom On the topology and future stability of the universe 025027 2013 Book  
4 Jacques Hadamard Lectures on Cauchy's problem in linear partial differential equations 008659 1952 Book  
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TitleCauchy problem in general relativity
Author(s)Hans Ringstrom
PublicationZurich, European Mathematical Society, 2009.
Descriptionxiii, 294p.
Series(Lectures in Mathematics and Physics)
Abstract NoteThis book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
ISBN,Price9783037190531 : Eur 42.00(PB)
Classification530.12:517.955
Keyword(s)1. CAUCHY PROBLEM 2. GENERAL RELATIVITY 3. GLOBAL HYPERBOLICITY 4. LORENTZ GEOMETRY 5. NON-LINEAR WAVE EQUATIONS 6. PARTIAL DIFFERENTIAL EQUATIONS 7. STRONG COSMIC CENSORSHIP
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026229   530.12:517.955/RIN/026229  On Shelf    

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TitleIntroduction to general relativity, black holes and cosmology
Author(s)Yvonne Choquet-Bruhat
PublicationOxford, Oxford University Press, 2015.
Descriptionxx, 279p.
Abstract NoteGeneral Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics.
ISBN,Price9780199666461 : UKP 24.99(PB)
Classification530.12:524.8
Keyword(s)1. BLACK HOLE 2. CAUCHY PROBLEM 3. COSMOLOGY 4. EINSTEIN EQUATIONS 5. GENERAL RELATIVITY 6. LORENTZIAN GEOMETRY 7. RELATIVISTIC FLUIDS 8. RELATIVISTIC KINETIC THEORY 9. RIEMANNIAN GEOMETRY 10. SCHWARZSCHILD SPACETIME 11. SPECIAL RELATIVITY
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026042   530.12:524.8/CHO/026042  On Shelf    

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TitleOn the topology and future stability of the universe
Author(s)Hans Ringstrom
PublicationOxford, Oxford University Press, 2013.
Descriptionxiv, 718p.
Series(Oxford mathematical monographs)
Abstract NoteThe standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic. After imposing this assumption, the only freedom left, as far as the geometry is concerned, is the choice of one out of three permissible spatial geometries, and one scalar function of time. Combining the cosmological principle with an appropriate description of the matter leads to the standard models. It is worth noting that these models yield quite a successful description of our universe. However, even though the universe may, or may not, be almost spatially homogeneous and isotropic, it is clear that the cosmological principle is not exactly satisfied. This leads to several questions. The most natural one concerns stability: given initial data corresponding to an expanding model of the standard type, do small perturbations give rise to solutions that are similar to the future? Another question concerns the shape of the universe: what are the restrictions if we only assume the universe to appear almost spatially homogeneous and isotropic to every observer? The main purpose of the book is to address these questions. However, to begin with, it is necessary to develop the general theory of the Cauchy problem for the Einstein-Vlasov equations. In order to to make the results accessible to researchers who are not mathematicians, but who are familiar with general relativity, the book contains an extensive prologue putting the results into a more general context.
ISBN,Price978019680290 : UKP 80.00(HB)
Classification517.955:52-55
Keyword(s)1. CAUCHY PROBLEM 2. EINSTEIN-VLASOR SYSTEM 3. SPATIALLY HOMOGENEOUS MODELS
Item TypeBook

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025027   517.955:52-55/RIN/025027  On Shelf    

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TitleLectures on Cauchy's problem in linear partial differential equations
Author(s)Jacques Hadamard
PublicationNew York, Dover Publications, Inc., 1952.
Descriptionv,316pp.
Classification517.955
Keyword(s)1. CAUCHY PROBLEM 2. PARTIAL DIFFERENTIAL EQUATIONS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
008659   517.955/HAD/008659  On Shelf    

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