Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-07-29
Phys.Rev.D82:124002,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v3, minor changes over v2, LaTex, 16 pages, no figures, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.82.124002
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.
Banerjee Rabin
Majhi Bibhas Ranjan
Modak Sujoy Kumar
Samanta Saurav
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