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Black holes a laboratory of nature in the quest towards the grand synthesis in physics
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Europe/Athens
Description
The synthesis of Quantum Mechanics with the theory of General Relativity in a unified mathematical framework constitutes the sacred chalice of theoretical physics. Black holes are among the most enigmatic and fascinating objects of the universe. Their recent observation by a variety of experiments e.g. gravitational waves produced by the coalesce of binary black holes, measurements of general relativistic effects in the observed orbits of S-stars around the galactic centre supermassive black hole SgrA*, constitute major breakthroughs in contemporary physics. This laboratory of Nature provides us with a testing ground for constructing quantum theories in curved backgrounds. To this end we investigated massive scalar and fermionic perturbations of the Kerr-Newman-(anti-)de Sitter (KN(a)dS) black hole. Specifically, we constructed and solved the massive Klein-Gordon-Fock and Dirac equations in the curved background of KN-(a)dS black hole. The novel solutions we derived involve special functions of the new generation such as Heun functions and generalisations of them. In particular, solutions of our general relativistic Dirac equation require solving the Schafke equation,i.e a generalised Heun differential equation (GHE). This has been the first application of Schafke equation in a physical problem. The local solutions of such GHE are derived and can be described by holomorphic functions whose power series coefficients are determined by a four-term recurrence relation. Exploiting the aforementioned four-term recursion formula we prove that in the non-extreme KN geometry there are no bound states with omega^2<mu^2, where omega and mu are the energy and mass of the fermion respectively. We then turn our attention to more esoteric theoretical aspects of black holes, and present our recent results on the analytic computation of curvature invariants for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime. This leads to the possibility of a new type of radiation from such black holes.
Videoconference via https://us02web.zoom.us/j/82116063290
