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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Hans Ringstrom |
Cauchy problem in general relativity |
026229 |
2009 |
Book |
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| 2 |
Yvonne Choquet-Bruhat |
Introduction to general relativity, black holes and cosmology |
026042 |
2015 |
Book |
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| 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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2.
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| Title | Introduction to general relativity, black holes and cosmology |
| Author(s) | Yvonne Choquet-Bruhat |
| 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
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 026042 |
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530.12:524.8/CHO/026042 |
On Shelf |
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+Copy Specific Information |
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3.
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| 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 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,Price | 978019680290 : UKP 80.00(HB) |
| Classification | 517.955:52-55
|
| Keyword(s) | 1. CAUCHY PROBLEM
2. EINSTEIN-VLASOR SYSTEM
3. SPATIALLY HOMOGENEOUS MODELS
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 025027 |
|
517.955:52-55/RIN/025027 |
On Shelf |
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|
|
+Copy Specific Information | |