Logo

Light Rays, Singularities, and All That

Small book cover: Light Rays, Singularities, and All That

Light Rays, Singularities, and All That
by

Publisher: arXiv.org
Number of pages: 105

Description:
This article is an introduction to causal properties of General Relativity. Topics include the Raychaudhuri equation, singularity theorems of Penrose and Hawking, the black hole area theorem, topological censorship, and the Gao-Wald theorem.

Home page url

Download or read it online for free here:
Download link
(2.1MB, PDF)

Similar books

Book cover: Gravitational Waves and Black Holes: an Introduction to General RelativityGravitational Waves and Black Holes: an Introduction to General Relativity
by - arXiv
General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.
(14713 views)
Book cover: Treatise on Differential Geometry and its role in Relativity TheoryTreatise on Differential Geometry and its role in Relativity Theory
by - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(5337 views)
Book cover: Gravitational Waves, Sources, and DetectorsGravitational Waves, Sources, and Detectors
by - arXiv
Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.
(11138 views)
Book cover: Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsBeyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
by - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(16526 views)