Noncommutative geometry inspired black holes in Rastall gravity

Abstract

Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density. Taking a Schwarzschild-like metric ansatz, it is shown that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in Rastall gravity, unlike its counterpart in general relativity (GR), is not a regular black hole. It has at most one event horizon. After showing a finite maximal temperature, the black hole will leave behind a point-like massive remnant at zero temperature. Considering a more general metric ansatz and a special equation of state of the matter, we also find a regular NCBH in Rastall gravity, which has a similar geometric structure and temperature to that of NCSBH in GR.

12 pages, 5 figures. to match the published version

References in corpus (14)

• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Noncommutative geometry inspired charged black holes
• Generalized curvature-matter couplings in modified gravity
• Noncommutative Black Hole Thermodynamics
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Non-commutative geometry inspired higher-dimensional charged, black holes
• The viability of theories with matter coupled to the Ricci scalar
• The Brans-Dicke-Rastall theory
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Abelian-Higgs strings in Rastall gravity
• Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited
• Horizon thermodynamics in fourth-order gravity

Cited by in corpus (6)

• Non-trivial class of anisotropic compact stellar model in Rastall gravity
• Wormhole Solutions in Rastall Gravity Theory
• Gaussian black holes in Rastall Gravity
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Cosmological implications of Rastall-$f(R)$ theory
• Black hole solutions and Euler equation in Rastall and generalized Rastall theories of gravity