Quasilocal energy for rotating charged black hole solutions in general relativity and string theory

Abstract

We explore the (non)-universality of Martinez's conjecture, originally proposed for Kerr black holes, within and beyond general relativity. The conjecture states that the Brown-York quasilocal energy at the outer horizon of such a black hole reduces to twice its irreducible mass, or equivalently, to \sqrt{A} /(2\sqrt{pi}), where `A' is its area. We first consider the charged Kerr black hole. For such a spacetime, we calculate the quasilocal energy within a two-surface of constant Boyer-Lindquist radius embedded in a constant stationary-time slice. Keeping with Martinez's conjecture, at the outer horizon this energy equals the irreducible mass. The energy is positive and monotonically decreases to the ADM mass as the boundary-surface radius diverges. Next we perform an analogous calculation for the quasilocal energy for the Kerr-Sen spacetime, which corresponds to four-dimensional rotating charged black hole solutions in heterotic string theory. The behavior of this energy as a function of the boundary-surface radius is similar to the charged Kerr case. However, we show that in this case it does not approach the expression conjectured by Martinez at the horizon.

15 pages

References in corpus (2)

• Behavior of Quasilocal Mass Under Conformal Transformations
• Lorentzian Approach to Black Hole Thermodynamics in the Hamiltonian Formulation

Cited by in corpus (11)

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• Rotating charged black hole with Weyl corrections
• Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry
• Mass and angular momentum of black holes in low-energy heterotic string theory
• Can Martinez's conjecture be extended to string theory?
• Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity
• Effect of charge on negative-phase-velocity propagation of electromagnetic waves in the ergosphere of a rotating black hole
• The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes