We obtain and study static, spherically symmetric solutions for the Einstein — generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of the Maxwell field in higher dimensions. Almost all solutions exhibit naked singularities, but there are some classes of black hole solutions. For these cases ...

We study the property of matter in equilibrium with a static, spherically symmetric black hole in D-dimensional spacetime. It requires this kind of matter has an equation of state ω ≡ pr/ρ = −1/(1 + 2kn), k, n ∈ N, which seems to be independent of D. However, when we associate this with specific models, some interesting limits on space could be found: (i)D = 2 + 2kn while the black hole is surr...

Novel static, time-dependent and spatial-temporal solutions of Einstein field equations, displaying singularities, with and without horizons, and in several dimensions are found based on a dimensional reduction procedure widely used in Kaluza-Klein type theories. The Kerr-Newman black-hole entropy as well as the Reissner-Nordstrom, Kerr and Schwarzschild black-hole entropy are derived from the ...

We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N -dimensional representation of su(2) in su(N), the purely magnetic gauge field ansatz contains N − 1 functions. When one or more of these gauge field functions are identically zero, magnetically charged EYM black hole solutions emerge, consisting of a neutral an...

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius), and an additional parameter, the “scalar charge” S. At zero value of S and positive mass the standard Schwarzschild black hole solutions are recovered. Dependi...

We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon that asymptote to a d-dimensional Minkowski-space times a circle. We start by reviewing the (μ, n) phase diagram and the split-up of the phase structure into solutions with an internal SO(d− 1) symmetry and sol...

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This research explores a unified expression for the black hole temperatures in the sense of a generalized uncertainty principle (GUP). Our argument is based on a heuristic analysis of a part...

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the symmetry of the space-time is not inherited by the electromagnetic field. We find that static degenerate black hole solutions are not possible and, subject to st...

We describe the horizon of a quantum black hole in terms of a dynamical surface which defines the boundary of space-time as seen by external static observers, and we define a path integral in the presence of this dynamical boundary. Using renormalization group arguments, we find that the dynamics of the horizon is governed by the action of the relativistic bosonic membrane. From the thermodynam...