Field equations and curvature

  • James Foster
  • J. David Nightingale


The main purpose of this chapter is to establish the field equations of general relativity, which couple the gravitational field (contained in the curvature of spacetime) with its sources. We start by discussing a tensor which effectively and concisely describes the sources, and follow that with a discussion of curvature, then bring these together in the field equations.


Stress Tensor Field Equation Gravitational Field Curvature Tensor Perfect Fluid 


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • James Foster
    • 1
  • J. David Nightingale
    • 2
  1. 1.School of Mathematical SciencesUniversity of SussexFalmer, BrightonUK
  2. 2.Department of Physics, The College at New PaltzState University of New YorkNew PaltzUSA

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