Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity

被引：73

作者：

Bemfica, Fabio S. ^{[1
,2
,4
]}

Disconzi, Marcelo M. ^{[2
]}

Noronha, Jorge ^{[3
]}

机构：

[1] Univ Fed Rio Grande do Norte, Escola Ciencias & Tecnol, BR-59072970 Natal, RN, Brazil

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37211 USA

[3] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP, Brazil

[4] Vanderbilt Univ, 221 Kirkland Hall, Nashville, TN 37235 USA

来源：

PHYSICAL REVIEW LETTERS | 2019年 / 122卷 / 22期

基金：

巴西圣保罗研究基金会;

关键词：

THERMODYNAMICS; STABILITY; EQUATIONS; FAMILY;

D O I：

10.1103/PhysRevLett.122.221602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that Einstein's equations coupled to equations of the Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (without shear viscosity or baryon diffusion) dynamically coupled to gravity, are causal in the full nonlinear regime. We also show that these equations can be written as a fast-order symmetric hyperbolic system, implying local existence and uniqueness of solutions to the equations of motion. We use an arbitrary equation of state and do not make any simplifying symmetry or near-equilibrium assumption, requiring only physically natural conditions on the fields. These results pave the way for the inclusion of bulk viscosity effects in simulations of gravitational-wave signals coming from neutron star mergers.

引用

页数：6

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