Abstract
Loop quantum gravity (LQG) is a theory that proposes a way to model the behavior of the spacetime in situations where its atomic characteristic arises. Among these situations, the spacetime behavior near the Big Bang or black hole’s singularity. The detection of gravitational waves, on the other hand, has opened the way to new perspectives in the investigation of the spacetime structure. In this work, by the use of a WKB method introduced by Schutz and Will (Astrophys J 291:L33, 1985), and after improved by Iyer and Will (Phys Rev D 35:3621, 1987), we study the gravitational wave spectrum emitted by loop quantum black holes, which correspond to a quantized version of the Schwarzschild spacetime by LQG techniques. From the results obtained, loop quantum black holes have been shown stable under axial gravitational perturbations.
Highlights
One of most exciting predictions of general relativity is the existence of black holes, objects from which no physical bodies or signals can get loose of their drag due to its strong gravitational field
loop quantum black hole (LQBH) provide us with a way to investigate quantum gravity corrections from Loop quantum gravity (LQG)
Due to its thermodynamical properties, the importance of LQBHs has been shown to go beyond the simple verification of LQG predictions to the gravitational field produced by a black hole, but it extends to the discussion of other relevant themes like the problem of dark matter and the problem of the initial state of the cosmos
Summary
One of most exciting predictions of general relativity is the existence of black holes, objects from which no physical bodies or signals can get loose of their drag due to its strong gravitational field. Investigation on the quasinormal mode spectrum in the context of LQBHs may reveal some advantages front others scenarios under the experimental point of view since the quantum corrections present in this scenario depend on the dimensionless Barbero–Immirzi parameter [32], which as it has been pointed in [33] does not suffers with the problem of mass suppression, as occurs with the parameters of other quantum gravity theories like superstring theory or noncommutative theory In these theories, the quantum corrections appears as proportional to (lqg/M)m, where lqg is a quantum gravity motivated dimensionful parameter of the theory, M is the black hole mass, and m is some positive number.
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