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Problem Book in Relativity and Gravitation

TLDR
In this article, the authors present a collection of 475 problems with solutions in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology, expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds.
Abstract
Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.

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The Cosmological Constant

TL;DR: In this paper, a review of the physics and cosmology of the cosmological constant is presented, focusing on recent developments, and a pedagogical overview of cosmology in the presence of such a constant is given.
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Local anisotropy in self-gravitating systems

TL;DR: In this article, the authors review and discuss possible causes for the appearance of local anisotropy (principal stresses unequal) in self-gravitating systems and present its main consequences.
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Vacuum nonsingular black hole

TL;DR: The spherically symmetric vacuum stress energy tensor with one assumption concerning its specific form generates the exact analytic solution of the Einstein equations which for larger coincides with the Schwarzschild solution, for smallr behaves like the de Sitter solution as mentioned in this paper.
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Supergravity Domain Walls

TL;DR: In this paper, the authors review the status of domain walls in N = 1 supergravity theories for the vacuum domain walls as well as dilatonic domain walls and provide a systematic analysis of the space-time in these domain wall backgrounds and the special role that supersymmetry is playing in determining the nature of such configurations.
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Apparent shape of super-spinning black holes

TL;DR: In this article, the authors consider the possibility that astrophysical black holes (BHs) can violate the Kerr bound, i.e., they can have angular momentum greater than BH mass, and discuss implications on the BH apparent shape.