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

TL;DR

This paper derives universal formulas for the product of all horizon areas in rotating, charged black holes across various dimensions, depending only on quantized charges, angular momenta, and cosmological constant, with implications for black hole microphysics.

Contribution

It provides explicit, universal area product formulas for rotating multi-charge black holes in four and higher dimensions, including asymptotically flat and AdS spacetimes.

Findings

Universal area product formulas depend only on quantized charges and angular momenta.

Formulas apply to black holes in four and higher dimensions, including AdS.

Results may help probe black hole microstates if cosmological constant is quantized.

Abstract

We present explicit results for the product of all horizon areas for general rotating multi-charge 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.