Lower bounds for the area of black holes in terms of mass, charge, and angular momentum

SERGIO DAIN; M. KHURI; G. WEINSTEIN; S. YAMADA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2013 vol. 88 p. 24048 - 24048

1550-7998

The most general formulation of Penrose?s inequality yields a lower bound for Arnowitt-Deser-Misnermass in terms of the area, charge, and angular momentum of black holes. This inequality is in turnequivalent to an upper and lower bound for the area in terms of the remaining quantities. In this paper, weestablish the lower bound for a single black hole in the setting of axisymmetric maximal initial data setsfor the Einstein-Maxwell equations, when the non-electromagnetic matter fields are not charged andsatisfy the dominant energy condition. It is shown that the inequality is saturated if and only if the initialdata arise from the extreme Kerr-Newman spacetime. Further refinements are given when either charge orangular momentum vanish. Last, we discuss the validity of the lower bound in the presence of multipleblack holes.