Abstract
In this work we consider black holes surrounded by anisotropic fluids in four dimensions. We first study the causal structure of these solutions showing some similarities and differences with Reissner–Nordström–de Sitter black holes. In addition, we consider scalar perturbations on this background geometry and compute the corresponding quasinormal modes. Moreover, we discuss the late-time behavior of the perturbations finding an interesting new feature, i.e., the presence of a subdominant power-law tail term. Likewise, we compute the Bekenstein entropy bound and the first semiclassical correction to the black hole entropy using the brick wall method, showing their universality. Finally, we also discuss the thermodynamical stability of the model.
Highlights
The LIGO collaboration [1,2] started the age of gravitational wave astronomy through the detection of a gravitational signal coming from the merger of two astrophysical black holes
This question can be addressed through the scattering of a scalar field in the fixed black hole background [8–13], which can be understood as a probe field to test thestability of the black hole metric
The time evolution of such probe fields is divided in three main stages: the initial burst in a short interval depending on the initial conditions, followed by the damping oscillation given by the quasinormal modes (QNMs) and, at late-times, a power-law or exponential tails
Summary
The LIGO collaboration [1,2] started the age of gravitational wave astronomy through the detection of a gravitational signal coming from the merger of two astrophysical black holes. The study of QNMs spectra can bring a better understanding of the stability of a given black hole solution [3–7] This question can be addressed through the scattering of a scalar field in the fixed black hole background [8–13], which can be understood as a probe field to test the (in)stability of the black hole metric. In an effort to include quantum aspects in the gravitational theory describing a black hole, ’t Hooft [17] proposed a semi-classical method to compute the corrections to the classical entropy formula (1). This technique known as the brickwall method consists in considering a thermal bath of scalar fields living outside the event horizon.
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