Cauchy’s Problem for Einstein’s Equations

Antonio Romano () and Mario Mango Furnari
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Antonio Romano: Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Mario Mango Furnari: Istituto di Cibernetica

Chapter Chapter 13 in The Physical and Mathematical Foundations of the Theory of Relativity, 2019, pp 361-371 from Springer

Abstract: Abstract There are two complementary ways to use Einstein’s equations: $$\begin{aligned} G_{\alpha \beta } = -\chi \, T_{\alpha \beta }. \end{aligned}$$After choosing a momentum–energy tensor on the basis of some physical assumptions, we can try to determine the solutions of Einstein’s equations corresponding to that momentum–energy tensor. For example, if the momentum–energy tensor of a perfect fluid is chosen and a spherically symmetric solution is searched for, then a reasonable stellar model is obtained.

Date: 2019
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DOI: 10.1007/978-3-030-27237-1_13

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