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Essays in General Relativity
A Festschrift for Abraham Taub
1st Edition - January 1, 1980
Editor: Frank J. Tipler
eBook ISBN:9781483273624
9 7 8 - 1 - 4 8 3 2 - 7 3 6 2 - 4
Essays in General Relativity: A Festschrift for Abraham Taub is collection of essays to honor Professor Abraham H. Taub on the occasion of his retirement from the mathematics… Read more
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Essays in General Relativity: A Festschrift for Abraham Taub is collection of essays to honor Professor Abraham H. Taub on the occasion of his retirement from the mathematics faculty of the University of California at Berkeley. Relativistic hydrodynamics has always been a subject dear to Taub's heart. In fact, many basic results on special relativistic fluid flows are due to him, and he has been a major contributor to the study of fluid flows near shocks. The book contains 16 chapters and begins with a discussion of a geometrical approach to general relativity. This is followed by separate chapters that examine the topology of the space-time manifold representing a stellar model; the notion of an ""external return"" in the context of general relativity; and the standard two-surface integral formulation of gravitational energy and momentum. Subsequent chapters deal with tidal forces in a highly asymmetric Taub universe; derivation of theoretical upper limits on the strengths of the gravitational waves that bathe the Earth; and a new formulation of Lagrangian general relativistic hydrodynamics.
To Abe Taub, the Universe Man Poem
The Taub Universe
List of Contributors
Preface
1 On Schwarzschild Causality—A Problem for Lorentz Covariante General Relativity
I. Introduction
II. Lorentz Covariance and Causality
III. Schwarzschild Geometry
IV. The Theorem
V. Concluding Remarks
References
2 Comments on the Topology of Nonsingular Stellar Models
I. Introduction
II. The Topology of Initially Newtonian Stars
III. The Topology of Primordial Stars
References
3 General Relativity and the Eternal Return
I. Introduction
II. Brief History of the Eternal Return Idea
III. The No-Return Theorem
IV. Proof of the No-Return Theorem
V. Significance of the No-Return Theorem
References
4 Energy and Momentum of the Gravitational Field
I. Introduction
II. Asymptotically Flat Initial Data
III. Energy and Linear Momentum
IV. Boosted Schwarzchild Initial Data
V. The Positive Energy Conjecture
VI. Conditions on the Stress-Energy Tensor
V. Angular Momentum
References
5 The Beam and Stay of the Taub Universe
Addendum on Lethal Radiation
Appendix
References
6 Tidal Forces in a Highly Asymmetric Taub Universe
I. Introduction
II. The Beam and Stay of the Taub Metric
III. Cosmic Tides
IV. Conclusion
References
7 Symmetry Breaking in General Relativity
References
8 Gauge Invariant Perturbation Theory in Spatially Homogeneous Cosmology
I. Introduction
II. Spatially Homogeneous Spacetimes
III. ξ-Spin and Spherical Bases
IV. Linearized Hamiltonian for Vacuum LRS Spatially Homogeneous Spacetimes