Cauchy problem for Einstein’s equation with matter

Joan Girbau; Lluís Bruna

doi:10.1007/978-3-0346-0304-1_4

Cauchy problem for Einstein’s equation with matter

Joan Girbau, Lluís Bruna

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 2010, Birkhäuser, Springer Basel AG. As we have already mentioned in Chapter II, general relativity is a classic gravitation theory where the physical space is interpreted as a continuum, mathematically modeled by means of a time-oriented Lorentzian manifold. Einstein’s equation relating the gravitational field with the matter that creates this field is (Formula presented.) where (Formula presented.) is Einstein’s tensor of the Lorentzian metric (Formula presented.), T is the stress-energy tensor describing the matter, and ξ is a universal constant.

Original language	English
Pages (from-to)	63-108
Journal	Progress in Mathematical Physics
Volume	58
DOIs	https://doi.org/10.1007/978-3-0346-0304-1_4
Publication status	Published - 1 Jan 2010

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AB - © 2010, Birkhäuser, Springer Basel AG. As we have already mentioned in Chapter II, general relativity is a classic gravitation theory where the physical space is interpreted as a continuum, mathematically modeled by means of a time-oriented Lorentzian manifold. Einstein’s equation relating the gravitational field with the matter that creates this field is (Formula presented.) where (Formula presented.) is Einstein’s tensor of the Lorentzian metric (Formula presented.), T is the stress-energy tensor describing the matter, and ξ is a universal constant.

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