36 research outputs found
A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
In this work we implement the Minimal Geometric Deformation decoupling method
to obtain general static interior solutions for a BTZ vacuum from the most
general isotropic solution in dimensions including the cosmological
constant . We obtain that the general solution can be generated only
by the energy density of the original isotropic sector, so that this quantity
plays the role of a generating function. Although as a particular example we
study the static star with constant density, the method here developed can be
easily applied to more complex situations described by other energy density
profiles.Comment: Accepted in EPJC. References correcte
Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
Motivated by quantum mechanical corrections to the Newtonian potential, which
can be translated into an -correction to the component of the
Schwarzschild metric, we construct a quantum mechanically corrected metric
assuming . We show how the Bekenstein black hole entropy
receives its logarithmic contribution provided the quantum mechanical
corrections to the metric are negative. In this case the standard horizon at
the Schwarzschild radius increases by small terms proportional to
and a remnant of the order of Planck mass emerges. We contrast these results
with a positive correction to the metric which, apart from a corrected
Schwarzschild horizon, leads to a new purely quantum mechanical horizon.Comment: 14 pages Latex, enlarged version as compared to the published on
Black hole shadow of a rotating polytropic black hole by the Newman--Janis algorithm without complexification
In this work, starting from a spherically symmetric polytropic black hole, a
rotating solution is obtained by following the Newman--Janis algorithm without
complexification. Besides studying the horizon, the static conditions and
causality issues of the rotating solution, we obtain and discuss the shape of
its shadow. Some other physical features as the Hawking temperature and
emission rate of the rotating polytropic black hole solution are also
discussed.Comment: 9 pages, 2 figures, some references adde