TY - JOUR
T1 - Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
AU - Bemfica, Fábio S.
AU - Disconzi, Marcelo M.
AU - Noronha, Jorge
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/6/7
Y1 - 2019/6/7
N2 - 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 first-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.
AB - 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 first-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.
UR - http://www.scopus.com/inward/record.url?scp=85066941433&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85066941433&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.122.221602
DO - 10.1103/PhysRevLett.122.221602
M3 - Article
C2 - 31283257
AN - SCOPUS:85066941433
SN - 0031-9007
VL - 122
JO - Physical review letters
JF - Physical review letters
IS - 22
M1 - 221602
ER -