Charged rotating black holes on a 3-brane -: art. no. 104027
Charged rotating black holes on a 3-brane -: art. no. 104027
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DOI：
10.1103/physrevd.71.104027
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发表时间：
2005-05-01
影响因子：
5
通讯作者：
Gümrükçüoglu, AE
中科院分区：
文献类型：
--
作者：
Aliev, AN;Gümrükçüoglu, AE
我们研究了兰德尔-桑德鲁姆膜世界中3-膜上的带电旋转黑洞的精确定态解和轴对称解。黑洞的电荷被认为有两种类型，第一种是感生潮汐电荷，它看起来像是来自块状空间的非局部引力效应的印记；第二种是由于囚禁在黑洞膜上的麦克斯韦场而产生的普通电荷。我们假定膜上的度规是Kerr-SChild形式的，并证明了电荷被潮汐电荷取代的普通广义相对论的Kerr-Newman解满足膜上的有效引力场方程的封闭系统。事实证明，负潮电荷可能提供了一种机制，使黑洞旋转，使其旋转参数超过其质量。这在广义相对论的框架内是不允许的。我们还发现了一种新的解决方案，它代表了薄膜上携带两种电荷的旋转黑洞。我们发现，对于足够快的自转，转动动力学和“平方”能量动量张量对膜的局部整体效应的共同影响扭曲了黑洞的视界结构，使其可以被认为是由半径从赤道平面到极点的非均匀旋转的零圆组成的。最后，我们研究了带有潮汐电荷的旋转黑洞赤道平面内测试粒子的测地线运动。结果表明，负潮荷的作用使粒子的视界半径、极限光子轨道半径、最内界和最内稳定圆轨道的半径增大。
We study exact stationary and axisymmetric solutions describing charged rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld. The charges of the black holes are considered to be of two types, the first being an induced tidal charge that appears as an imprint of nonlocal gravitational effects from the bulk space and the second is a usual electric charge arising due to a Maxwell field trapped on the brane. We assume a special ansatz for the metric on the brane taking it to be of the Kerr-Schild form and show that the Kerr-Newman solution of ordinary general relativity in which the electric charge is superseded by a tidal charge satisfies a closed system of the effective gravitational field equations on the brane. It turns out that the negative tidal charge may provide a mechanism for spinning up the black hole so that its rotation parameter exceeds its mass. This is not allowed in the framework of general relativity. We also find a new solution that represents a rotating black hole on the brane carrying both charges. We show that for a rapid enough rotation the combined influence of the rotational dynamics and the local bulk effects of the "squared" energy-momentum tensor on the brane distort the horizon structure of the black hole in such a way that it can be thought of as composed of nonuniformly rotating null circles with growing radii from the equatorial plane to the poles. We finally study the geodesic motion of test particles in the equatorial plane of a rotating black hole with tidal charge. We show that the effects of negative tidal charge tend to increase the horizon radius, as well as the radii of the limiting photon orbit, the innermost bound and the innermost stable circular orbits for both direct and retrograde motions of the particles.