Higher Dimensional Charged Black Hole Solutions in f(R) Gravitational Theories

被引:55
作者
Nashed, G. G. L. [1 ,2 ,3 ]
机构
[1] British Univ Egypt, Ctr Theoret Phys, POB 43, Cairo 11837, Egypt
[2] Ain Shams Univ, Math Dept, Fac Sci, Cairo, Egypt
[3] Cairo Univ, ERG, Giza, Egypt
关键词
COVARIANT CONSERVATION-LAWS; MODIFIED GRAVITY; PALATINI FORMULATION; CONSTANT; UNIVERSE; BRANE;
D O I
10.1155/2018/7323574
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present, without any assumption, a class of electric and magnetic flat horizon D-dimension solutions for a specific class of f(R) = R + alpha R-2, all of which behave asymptotically as Anti-de-Sitter spacetime. The most interesting property of these solutions is that the higher dimensions black holes, D > 4, always have constant electric and magnetic charges in contrast to what is known in the literature. For D = 4, we show that the magnetic field participates in the metric on equal foot as the electric field participates. Another interesting result is the fact that the Cauchy horizon is not identical with the event horizon. We use Komar formula to calculate the conserved quantities. We study the singularities and calculate the Hawking temperature and entropy and show that the first law of thermodynamics is always satisfied.
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页数:16
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