Killing symmetries and Smarr formula for black holes in arbitrary dimensions

Rabin Banerjee, Bibhas Ranjan Majhi, Sujoy Kumar Modak, Saurav Samanta
2010 Physical Review D  
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_χ^μ=2ST where the left hand side is the Komar conserved quantity corresponding to the null Killing vector χ^μ 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
more » ... avity and horizon area. The consistency of this new formula is established by an independent algebraic approach.
doi:10.1103/physrevd.82.124002 fatcat:fupv6r3qpre4tlfujxkuik67ca