Lorentz symmetry violating BTZ black holes in massive gravity

Abstract

BTZ black holes provide excellent frameworks for studying theories that are at the interface of classical and quantum gravity. In this paper we couple the Riemannian spacetime with the bumblebee field, in the background of massive gravity, which produces the violation of spontaneous Lorentz symmetry. In this setup we construct a large family of static vacuum BTZ black hole solutions. We study the asymptotic behaviour of curvature invariants and show that our resulting solutions describe asymptotically AdS (2+1)-dimensional BTZ black holes with negative cosmological constant. For positive cosmological constant they are de Sitter. Thermodynamics of these black holes is also analysed.

Shadow cast by Kerr-like black hole in the presence of plasma in Einstein-bumblebee gravity

“…In 2018, Casana et al gave the exact Schwarzschild-like solution in a Einstein-bumblebee gravity model [63]. Shortly thereafter, many groups have studied the thermodynamics and dynamics of black holes in the Einstein-bumblebee gravity [27,[64][65][66][67][68][69][70][71][72][73][74].…”

Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics

“…in [44,45,46,47] for D ≥ 4 (see also [48,49,50] for works on holographic superconductors in the Einstein-Gauss-Bonnet gravity in higher dimensions, and [51,52] for backreaction and entanglement entropy in threedimensional Einstein-Maxwell theory), and in the presence of BI in [53,54,55,56,57,58,59,60,61]. For additional interesting articles in the context of BI and a power Maxwell field, which motivate even further the studies on non-linear Electrodynamics, and also in connection to the Bañados-Teitelboim-Zanelli (BTZ) black hole [62,63] and its extensions in several different contexts (geodesics in massive gravity, solutions with a scalar hair, exact solutions in General Relativity versus f (R) theories, dilatonic black holes etc), see [64,65,66,67,68,69,70,71,72,73].…”

Schwarzschild-like black hole with a topological defect in bumblebee gravity

“…On the other side, the Lorentz symmetry breaking is associated with the idea that the Quantum Gravity (QG) signals may emerge at low energy scales [4]. The naturelness and the possibility of Lorentz symmetry breaking is discussed in the context of string theory in [5][6][7][8][9][10][11][12][13][14][15]. The Lorentz symmety breaking arises in other theories like noncomutative field theories [16][17][18] and loop quantum gravity theory [19,20] among other scenarios [21][22][23][24].…”