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Black Hole Spin

Charles D. Bailyn

in What Does a Black Hole Look Like?

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691148823
eISBN:
9781400850563
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148823.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the spin of a black hole. The spin is usually described as a nondimensional parameter, which can range from zero (a nonspinning black hole) to one (a situation described as ... More


Spherically symmetric spacetime — GR tests

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A spherically symmetric metric has two unknown scalar metric functions. The Schwarzschild solution to the GR field equation is presented. An embedding diagram is used to visualize such a warp space. ... More


GR as a geometric theory of gravity — II

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The mathematical realization of equivalence principle (EP) is the principle of general covariance. General relativity (GR) equations must be covariant with respect to general coordinate ... More


Spherically Symmetric Black Holes

Valeri P. Frolov and Andrei Zelnikov

in Introduction to Black Hole Physics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199692293
eISBN:
9780191731860
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199692293.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

To derive spherically symmetric solutions of the Einstein equations the dimensional reduction is used. The Birkhoff theorem is proved, which shows that any vacuum spherically symmetric solution ... More


A College Course on Relativity and Cosmology

Ta-Pei Cheng

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199693405
eISBN:
9780191803130
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199693405.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This book introduces Einstein’s general theory of relativity. Topics include the geometric formulation of special relativity, the principle of equivalence, the Einstein field equation and its ... More


“Cruel and Unusual Punishment”?

Scott Christianson

in The Last Gasp: The Rise and Fall of the American Gas Chamber

Published in print:
2010
Published Online:
March 2012
ISBN:
9780520255623
eISBN:
9780520945616
Item type:
chapter
Publisher:
University of California Press
DOI:
10.1525/california/9780520255623.003.0012
Subject:
History, American History: 20th Century

By the late 1970s, public opinion in the United States was swinging ever more strongly in favor of the death penalty. Although the public's appetite for gas chambers had diminished, eleven ... More


The First Solutions and the Challenge of Their Interpretation

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0006
Subject:
Physics, History of Physics

This chapter discusses the first wave of the exploration of exact solutions to Einstein's gravitational field equations. When Einstein published the final form of the field equations in 1915, only an ... More


Equations of motion

in Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199680696
eISBN:
9780191760662
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199680696.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A technique for extracting the relativistic equations of motion of Schwarzschild, Reissner–Nordström, or Kerr particles moving in external fields, from the vacuum Einstein or Einstein–Maxwell field ... More


The Einstein field equation

Ta-Pei Cheng

in Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199669912
eISBN:
9780191744488
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669912.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Newton’s 1/ r 2 gravitational force law is finally explained. The ... More


General Relativity

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents the physical motivation for general relativity, derives the Einstein field equation and gives concise derivations of the main results of the theory. It begins with the ... More


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