https://doi.org/10.1140/epjc/s10052-017-5112-2
Regular Article - Theoretical Physics
Energy conditions of non-singular black hole spacetimes in conformal gravity
1
Faculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo náměstí 13, 74601, Opava, Czech Republic
2
Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent, 100052, Uzbekistan
3
Department of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China
4
Theoretical Astrophysics, Eberhard-Karls Universität Tübingen, 72076, Tübingen, Germany
5
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
6
Tashkent University of Information Technologies, 108 Amir Temur Avenue, Tashkent, 100200, Uzbekistan
* e-mail: bobir.toshmatov@fpf.slu.cz
Received:
22
February
2017
Accepted:
27
July
2017
Published online:
12
August
2017
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.
© The Author(s), 2017
