Black hole scalarization from the breakdown of scale invariance

Duality Invariance of Black Hole Creation Rates

Pair creation of electrically charged black holes and its dual process, pair creation of magnetically charged black holes, are considered. It is shown that the creation rates are equal provided the boundary conditions for the two processes are dual to one another. This conclusion follows from a careful analysis of boundary terms and boundary conditions for the Maxwell action. Typeset using REVTEX

Conformal Invariance of Black Hole Temperature

It is shown that the surface gravity and temperature of a stationary black hole are invariant under conformal transformations of the metric that are the identity at infinity. More precisely, we find a conformal invariant definition of the surface gravity of a conformal Killing horizon that agrees with the usual definition(s) for a true Killing horizon and is proportional to the temperature as d...

Non-Linear Invariance of Black Hole Entropy

On Diffeomorphism Invariance and Black Hole Entropy

The Noether-charge realization and the Hamiltonian realization for the diff(M) algebra in diffeomorphism invariant gravitational theories are studied in a covariant formalism. For the Killing vector fields, the Nother-charge realization leads to the mass formula as an entire vanishing Noether charge for the vacuum black hole spacetimes in general relativity and the corresponding first law of th...

Breakdown of the semiclassical approximation at the black hole horizon.

The deenition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The eeect of small quantum uctuations of the mass of the black hole due to the quantum nature of the infalling matter is taken into account. It is then shown that the usual approximation of treating the gravitational eld as a classical background on which matter is quantized, break...