A First Course in General Relativity

By Bernard F. Schutz. 2022

665 citations recorded by the source corpus.

Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in mathematics. Topics within relativity that fascinate astrophysics researchers and students alike are covered with Schutz's characteristic ease and authority, from black holes to relativistic objects, from pulsars to the study of the Universe as a whole. This third edition contains discoveries by astronomers that require general relativity for their explanation; two chapters on gravitational waves, including direct detections of gravitational waves and their observations' impact on cosmological measurements; new information on black holes and neutron stars; and greater insight into the expansion of the Universe. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, while the informal writing style and worked examples make the subject matter easily accessible.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/4ce4ec33c2e6b562141849e68389ddcb4521997f

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In Astronomy and Astrophysics

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2. J. V. Meter
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4. John G. Baker
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8. Cosimo Bambi

Citations in the corpus

• Black-hole binaries, gravitational waves, and numerical relativity (2010, background): “For fuller discussions and more details, see Misner et al. (1973) and Schutz (2009).”
• Transformation Optics and the Geometry of Light (2008, background): “Our interest is in writing equations that are valid in an (1)The introduction to curved coordinates given here is broadly similar to that in Schutz’s excellent text [125].”
• The Confrontation between General Relativity and Experiment (2005, methodology): “and simply “going over” to new forms in terms of the curved spacetime metric g, using the mathematics of differential geometry. The details of this “going over” can be found in standard textbooks (see [265, 377, 327, 297], TEGP 3.2. [388]). 3.1.2 The strong equivalence principle In any metric theory ”
• Sound speeds, cracking and the stability of self-gravitating anisotropic compact objects (2007, neutral): “Obviously, in the isotropic case (P⊥ = Pr) it becomes the usual Tolman-Oppenheimer-Volkov (TOV) equation, which constrains the internal equilibrium structure of general relativistic, isotropic, static perfect fluid spheres and it is considered in standard textbooks of gravitation [13, 14 ],.”