1301.7122 (Changjun Gao et al.)

Static Spherically Symmetric Solution of the Einstein-aether Theory    [PDF]

Changjun Gao, You-Gen Shen

We present the static spherically symmetric solution in the Einstein-aether theory by using of the Euler-Lagrange equations. The solution is similar to the Reissner-Nordstrom-de Sitter solution in that it has an inner Cauchy horizon, an outer black hole event horizon and a "cosmic horizon". But different from the Reissner-Nordstrom-de Sitter solution, its "cosmic horizon" locates not at some finite physical radius but at the spatial infinity. The resulting electric potential is regular in the whole spacetime except for the curvature singularity. On the other hand, the magnetic potential is divergent on both Cauchy horizon and the outer event horizon.

View original: http://arxiv.org/abs/1301.7122