Spherically Symmetric Exact Vacuum Solutions in Einstein-Aether Theory

Universe

Shinji Mukohyama¹  Jacob Oost²  Anzhong Wang² 

[1] Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;GCAP-CASPER, Physics Department, Baylor University, Waco, TX 76798-7316, USA;

关键词: Einstein-aether theory;    spherical symmetry;    exact solution;    singularities;    black holes;    cosmological models;   

DOI  :  10.3390/universe7080272

来源: DOAJ

【 摘 要 】

We study spherically symmetric spacetimes in Einstein-aether theory in three different coordinate systems, the isotropic, Painlevè-Gullstrand, and Schwarzschild coordinates, in which the aether is always comoving, and present both time-dependent and time-independent exact vacuum solutions. In particular, in the isotropic coordinates we find a class of exact static solutions characterized by a single parameter $c_{14}$ in closed forms, which satisfies all the current observational constraints of the theory, and reduces to the Schwarzschild vacuum black hole solution in the decoupling limit ($c_{14}=0$). However, as long as $c_{14}\ne 0$, a marginally trapped throat with a finite non-zero radius always exists, and on one side of it the spacetime is asymptotically flat, while on the other side the spacetime becomes singular within a finite proper distance from the throat, although the geometric area is infinitely large at the singularity. Moreover, the singularity is a strong and spacetime curvature singularity, at which both of the Ricci and Kretschmann scalars become infinitely large.

【 授权许可】

Unknown