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Author  Title  Accn#  Year  Item Type  Claims 
1 
Hans Ringstrom 
Cauchy problem in general relativity 
026229 
2009 
Book 

2 
Yvonne ChoquetBruhat 
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 


2.


Title  Introduction to general relativity, black holes and cosmology 
Author(s)  Yvonne ChoquetBruhat 
Publication  Oxford, Oxford University Press, 2015. 
Description  xx, 279p. 
Abstract Note  General 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,Price  9780199666461 : UKP 24.99(PB) 
Classification  530.12:524.8

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

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026042 

530.12:524.8/CHO/026042 
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3.


Title  On the topology and future stability of the universe 
Author(s)  Hans Ringstrom 
Publication  Oxford, Oxford University Press, 2013. 
Description  xiv, 718p. 
Series  (Oxford mathematical monographs) 
Abstract Note  The 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 EinsteinVlasov 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,Price  978019680290 : UKP 80.00(HB) 
Classification  517.955:5255

Keyword(s)  1. CAUCHY PROBLEM
2. EINSTEINVLASOR SYSTEM
3. SPATIALLY HOMOGENEOUS MODELS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
025027 

517.955:5255/RIN/025027 
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