Universal Area Product Formulas for Rotating and Charged Black Holes in Four and Higher Dimensions

M. Cvetič, G. W. Gibbons, and C. N. Pope

Phys. Rev. Lett. 106, 121301 – Published 21 March 2011

Abstract

We present explicit results for the product of all horizon areas for general rotating multicharge black holes, both in asymptotically flat and asymptotically anti–de Sitter spacetimes in four and higher dimensions. The expressions are universal, and depend only on the quantized charges, quantized angular momenta and the cosmological constant. If the latter is also quantized these universal results may provide a “looking glass” for probing the microscopics of general black holes.

Received 12 December 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.121301

Authors & Affiliations

M. Cvetič^1,4, G. W. Gibbons², and C. N. Pope^2,3

¹Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
²DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
³George P. & Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA
⁴Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia