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arXiv 0902.3899gr-qcastro-ph.COhep-th
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大质量引力中的黑洞解

Black hole solutions in massive gravity

Michael V. Bebronne, Peter G. Tinyakov

摘要:

用解析和数值方法得到了在大质量引力场中的静态真空球对称解。这些解取决于两个参数(积分常数):质量M(或者等价地,史瓦西半径)和一个附加参数,“标量电荷”S。在S为零且质量为正的情况下,恢复了标准Schwarzschild黑洞解.根据模型的参数和M和S的符号,解可能有也可能没有视界。那些有视界的黑洞描述了变形的黑洞,只要它们对小扰动是稳定的。在解析可解的例子中,修正后的黑洞解在大距离处可能具有吸引和排斥(反引力)行为。在中等距离上,变形黑洞的引力势可以模拟暗物质的存在。修正的黑洞解在更现实的大质量引力模型中也被数值地发现,它们是宇宙演化的吸引子。

英文摘要:

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius), and an additional parameter, the "scalar charge" S. At zero value of S and positive mass the standard Schwarzschild black hole solutions are recovered. Depending on the parameters of the model and the signs of M and S, the solutions may or may not have horizon. Those with the horizon describe modified black holes provided they are stable against small perturbations. In the analytically solvable example, the modified black hole solutions may have both attractive and repulsive (anti-gravitating) behavior at large distances. At intermediate distances the gravitational potential of a modified black hole may mimics the presence of dark matter. Modified black hole solutions are also found numerically in more realistic massive gravity models which are attractors of the cosmological evolution.

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