Publication date: Aug 2017
Abstract:
Conformal gravity can elegantly solve the problem of spacetime
singularities present in Einstein’s gravity. For every physical
spacetime, there is an infinite family of conformally equivalent
singularity-free metrics. In the unbroken phase, every non-singular
metric is equivalent and can be used to infer the physical properties of
the spacetime. In the broken phase, a Higgs-like mechanism should select
a certain vacuum, which thus becomes the physical one. However, in the
absence of the complete theoretical framework we do not know how to
select the right vacuum. In this paper, we study the energy conditions
of non-singular black hole spacetimes obtained in conformal gravity
assuming they are solutions of Einstein’s gravity with an effective
energy-momentum tensor. We check whether such conditions can be helpful
to select the vacuum of the broken phase.
Authors:
Toshmatov, Bobir; Bambi, Cosimo; Ahmedov, Bobomurat; Abdujabbarov, Ahmadjon; Stuchlík, Zdeněk;