Charged black holes from T-duality

Abstract

In this paper, we present a family of regular black hole solutions in the presence of charge and angular momentum. We also discuss the related thermodynamics and we comment about the black hole life cycle during the balding and spin down phases. Interestingly the static solution resembles the Ayón-Beato-García spacetime, provided the Tduality scale is redefined in terms of the electric charge, l 0 → Q. The key factor at the basis of our derivation is the employment of Padmanabhan's propagator to calculate static potentials. Such a propagator encodes string T-duality effects. This means that the regularity of the spacetimes here presented can open a new window on string theory phenomenology.

Quantum gravity and the zero point length

“…Further repercussions of the path integral duality are currently the subject of investigations in the context of charged and charged, spinning black holes [44]. Apart from the manifold regularity, the zero point length may help to shed light about the duration of the phases preceding the neutral, spherically symmetric one.…”

“…The most notable applications of Padmanabhan's propagator have been in the framework of electrodynamics [42] and general relativity [43,44]. A crucial starting point is the derivation of static potentials due to virtual particle exchange.…”

“…To this purpose, non-local actions for electrodynamics [42] and the gravitymatter system [44] have been derived in order to reproduce the non-local equations for static potentials and the corresponding fields. Also for field equations, the modifications consist in the replacement of any point-like structures with smeared source terms.…”

“…Conversely, in the presence of a zero point length, the non-locality of the action implies a non-vanishing source term. This is the tensor analogue of the density ρ eff in (11) [43,44]. For a static, spherically symmetric spacetime without charge, one can solve such non-local Einstein equations.…”

Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length

“…In this manner, the discrete to continuum transition should have a memory of the fluctuations of the quantum spacetime. It was recently used to obtain black hole solutions [22][23][24][25]. In order to incorporate such quantum gravity effects we need to know the modified entropy.…”