Black holes in the tensor-vector-scalar theory of gravity and their thermodynamics
Black holes in the tensor-vector-scalar theory of gravity and their thermodynamics
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DOI：
10.1103/physrevd.77.024010
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发表时间：
2007-08
影响因子：
5
通讯作者：
E. Sagi;J. Bekenstein
中科院分区：
文献类型：
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作者：
E. Sagi;J. Bekenstein
张量-矢量-标量（TeVeS）理论是一种相对论引力理论，旨在为修正的牛顿动力学提供基础。由于TeVeS不同于广义相对论（例如，它有两个度规，爱因斯坦度规和物理度规），它的黑洞解对于从天体物理建模到研究重力和热力学之间的相互关系的许多努力都是有价值的。Giannios最近发现了史瓦西黑洞解的TeVeS类似物。我们继续进一步的程序，通过解析求解TeVeS方程的静态球对称和渐近平坦的电磁场和重力场系统。我们表明，一个解决方案是由Reissner-Nordstroem度量作为物理度量，TeVeS矢量场指向时间方向，和TeVeS标量场正无处不在（最后一个功能保护超光速传播的干扰领域）。我们使用物理量规计算了TeVeS中的黑洞热力学;黑洞熵、温度和电势与广义相对论中的黑洞熵、温度和电势相同。我们发现把热力学建立在爱因斯坦度规的基础上是不一致的。有鉴于此，我们重新考虑Dubovsky-Sibiryakov方案，因为它在洛伦兹对称性破坏的理论中更多地违反了热力学第二定律。«少
Tensor-vector-scalar (TeVeS) theory, a relativistic theory of gravity, was designed to provide a basis for the modified Newtonian dynamics. Since TeVeS differs from general relativity (e.g., it has two metrics, an Einstein metric and a physical metric), black hole solutions of it would be valuable for a number of endeavors ranging from astrophysical modeling to investigations into the interrelation between gravity and thermodynamics. Giannios has recently found a TeVeS analogue of the Schwarzschild black hole solution. We proceed further with the program by analytically solving the TeVeS equations for a static spherically symmetric and asymptotically flat system of electromagnetic and gravity fields. We show that one solution is provided by the Reissner-Nordstroem metric as physical metric, the TeVeS vector field pointing in the time direction, and a TeVeS scalar field positive everywhere (the last feature protects from superluminal propagation of disturbances in the fields). We work out black hole thermodynamics in TeVeS using the physical metric; black hole entropy, temperature, and electric potential turn out to be identical to those in general relativity. We find it inconsistent to base thermodynamics on the Einstein metric. In light of this, we reconsider the Dubovsky-Sibiryakov scenario for violating the second law of thermodynamics more » in theories with Lorentz symmetry violation. « less