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## 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

## General Relativity and the Schwarzschild Metric

*David M. Wittman*

### in The Elements of Relativity

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780199658633
- eISBN:
- 9780191863653
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199658633.003.0018
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Previously, we saw that variations in the time part of the spacetime metric cause free particles to accelerate, thus unifying gravity and relativity; and that orbits trace those accelerations, which ... More

## Einstein Equation and its Spherical Solution

*Ta-Pei Cheng*

### in A College Course on Relativity and Cosmology

- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780199693405
- eISBN:
- 9780191803130
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199693405.003.0006
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

The general relativity (GR) field equation relates spacetime curvature to mass/energy distribution. Its solution is the metric, determining spacetime geometry. This chapter introduces curvature in ... More

## Geodesics in the Solar System

*Steven Carlip*

### in General Relativity: A Concise Introduction

- Published in print:
- 2019
- Published Online:
- March 2019
- ISBN:
- 9780198822158
- eISBN:
- 9780191861215
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198822158.003.0003
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Given the spacetime geometry of the Solar System, the geodesic equation can be used to derive the motion of massive objects and light. In this chapter, starting with the Schwarzschild metric, the ... More

## Beyond the Schwarzschild Metric

*David M. Wittman*

### in The Elements of Relativity

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780199658633
- eISBN:
- 9780191863653
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199658633.003.0019
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

General relativity explains much more than the spacetime around static spherical masses.We briefly assess general relativity in the larger context of physical theories, then explore various general ... More

## The Equivalence Principle

*David M. Wittman*

### in The Elements of Relativity

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780199658633
- eISBN:
- 9780191863653
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199658633.003.0013
- Subject:

The equivalence principle is an important thinking tool to bootstrap our thinking from the inertial coordinate systems of special relativity to the more complex coordinate systems that must be used ... More

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