The Cauchy problem in General Relativity: An algebraic characterization
Lorenzo Fatibene, Simon Garruto
TL;DR
This paper analyzes the structure of the Cauchy problem in General Relativity using the theory of first order symmetric hyperbolic systems, providing an algebraic characterization of the problem.
Contribution
It introduces an algebraic characterization of the Cauchy problem in GR through the application of symmetric hyperbolic systems theory.
Findings
Provides a new algebraic framework for the Cauchy problem in GR
Establishes conditions for well-posedness of the Cauchy problem
Links hyperbolic systems theory to Einstein's equations
Abstract
In this paper we shall analyse the structure of the Cauchy Problem (CP briefly) for General Relativity (GR briefly) by applying the theory of first order symmetric hyperbolic systems.
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