Abstract
AbstractWe use an orthonormal frame approach to provide a general framework for the first order hyperbolic reduction of the Einstein equations coupled to a fairly generic class of matter models. Our analysis covers the special cases of dust and perfect fluid. We also provide a discussion of self-gravitating elastic matter. The frame is Fermi–Walker propagated and coordinates are chosen such as to satisfy the Lagrange condition. We show the propagation of the constraints of the Einstein-matter system.
Funder
Queen Mary University of London
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous)
Reference30 articles.
1. Alho, A., Mena, F.C., Kroon, J.A.: Valiente: the Einstein–Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies. Adv. Theor. Math. Phys. 21, 857 (2017)
2. Andersson, L., Oliynyk, T.A., Schmidt, B.G.: Dynamical compact elastic bodies in General Relativity. Arch. Ration. Mech. Anal. 220, 849 (2016)
3. Carter, B., Quintana, H.: Foundations of general relativistic high-pressure elasticity theory. Proc. R. Soc. Lond. 331, 57 (1972)
4. Beig, R., Schmidt, B.G.: Relativistic elasticity. Class. Quantum Gravity 20, 889 (2003)
5. Bemfica, F.S., Disconzi, M.M., Noronha, J.: Causality of the Einstein–Israel–Stewart theory with bulk viscosity. Phys. Rev. Lett. 122, 221602 (2019)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献