2013/01/31 by Changjun Gao, You-Gen Shen
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.88.103508
published as Phys. Rev. D 88, 103508(2013) · 12 pages, 8 figures. To appear in PRD
arxiv created 2013/10/25 · arxiv updated 2013/11/14
By using of the Euler-Lagrange equations, we find a static spherically symmetric solution in the Einstein-aether theory with the coupling constants restricted. The solution is similar to the Reissner-Nordstrom solution in that it has an inner Cauchy horizon and an outer black hole event horizon. But a remarkable difference from the Reissner-Nordstrom solution is that it is not asymptotically flat but approaches a two dimensional sphere. 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.