Chapter 1. From Gases to Clusters: Concepts in Gravitation and Gas Laws: Sections 1.A -1.C

  1. Steven N. Shore

Published Online: 21 APR 2005

DOI: 10.1002/3527603522.ch1b

The Tapestry of Modern Astrophysics

The Tapestry of Modern Astrophysics

How to Cite

Shore, S. N. (2002) From Gases to Clusters: Concepts in Gravitation and Gas Laws: Sections 1.A -1.C, in The Tapestry of Modern Astrophysics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603522.ch1b

Author Information

  1. Department of Physics and Astronomy, Indiana University South Bend, USA

Publication History

  1. Published Online: 21 APR 2005
  2. Published Print: 5 DEC 2002

ISBN Information

Print ISBN: 9780471168164

Online ISBN: 9783527603527

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Keywords:

  • modern astrophysics;
  • gravitational potential for homogeneous spheroids;
  • Hamiltonian mechanics;
  • Lagrangian mechanics;
  • general relativity;
  • equivalence principle;
  • Mach's principle;
  • black holes;
  • symmetries;
  • Killing equations;
  • gravitational lenses;
  • gravitational waves

Summary

This chapter contains sections titled:

  • Gravitational Potential for Homogeneous Spheroids

  • A Lightning-Fast Review of Hamiltonian and Lagrangian Mechanics

  • General Relativity on the Cheap

    • Special Relativity

    • The Metric

    • The Equivalence Principle and Mach's Principle

    • Deriving the General Relativistic Equations of Motion

      • The Riemann Curvature Tensor

      • The Ricci Tensor and the Curvature Scalar

      • Electromagnetism

      • The Schwarzschild Solution

    • Horizons and Black Holes

    • Symmetries and Killing Observers

    • Static Curvature: Gravitational Lenses

    • Dynamic Curvature: Gravitational Waves

    • Connections with Global Structures: A Comment