Killing symmetries and Smarr formula for black holes in arbitrary dimensions

被引：31

作者：

Banerjee, Rabin ^{[1
]}

Majhi, Bibhas Ranjan ^{[1
]}

Modak, Sujoy Kumar ^{[1
]}

Samanta, Saurav ^{[2
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India

[2] Narasinha Dutt Coll, Howrah 711101, India

来源：

PHYSICAL REVIEW D | 2010年 / 82卷 / 12期

关键词：

COVARIANT CONSERVATION-LAWS; EFFECTIVE-MASS; ENTROPY; FIELD;

D O I：

10.1103/PhysRevD.82.124002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We calculate the effective Komar conserved quantities for the N + 1 dimensional charged Myers-Perry spacetime. At the event horizon we derive a new identity K-chi(mu) = 2ST where the left hand side is the Komar conserved quantity corresponding to the null Killing vector chi(mu) while in the right hand side S, T are the black hole entropy and Hawking temperature. From this identity we also derive the generalized Smarr formula connecting the macroscopic parameters M, J, Q of the black hole with its surface gravity and horizon area. The consistency of this new formula is established by an independent algebraic approach.

引用

页数：11

共 37 条

[1] Rotating black holes in higher dimensional Einstein-Maxwell gravity [J].