Photon trajectories on a first order scale-dependent static BTZ black hole

Fathi, Mohsen; Rincón, Ángel; Villanueva, J. R.

doi:10.1088/1361-6382/ab6f7c

Cited by 28 publications

(12 citation statements)

References 73 publications

(120 reference statements)

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“…Also, close-related approaches share the similar foundations, for instance the well-known Renormalization group improvement method [70][71][72][73] (usually applied to black hole physics) or the running vacuum approach [74][75][76][77][78][79] (usually implemented in cosmological models). Following the same philosophy, recently the scale-dependent gravity have provided non-trivial black holes solutions as well as cosmological solutions, investigating different conceptual aspects of such novel results (see, for instance [80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96] and references therein). Roughly speaking, scaledependent gravity extend classical general relativity solutions after treat the classical coupling as scale-dependent functions, which can be symbolically represented as follows…”

Section: Scale-dependent Gravitymentioning

confidence: 99%

Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity

2021

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We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton’s constant is allowed to vary with the radial coordinate throughout the star. Assuming (1) a linear equation-of-state in the MIT bag model for quark matter, and (2) a certain profile for the energy density, we integrate numerically the generalized structure equations, and we compute the basic properties of the strange quark stars, such as mass, radius and compactness. Finally, we demonstrate that stability criteria as well as the energy conditions are fulfilled. Our results show that a decreasing Newton’s constant throughout the objects leads to slightly more massive and more compact stars.

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Section: Scale-dependent Gravitymentioning

confidence: 99%

Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity

2021

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“…As has been reported before, in theories of gravity, the scale dependence is expected to modify the horizon, the thermodynamics as well as the quasinormal spectra of classical black hole backgrounds [27][28][29][30][31][32][33][34][35]. What is more, the Sagnac effect [36], the evolution of trajectories of photons [37], some cosmological solutions [38], and transverse wormhole solutions [39] have also been studied too. A closed related approach is usually called improvement asymptotically safe gravity [40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional AdS black holes in massive-power-Maxwell theory

Panah¹,

Jafarzade²,

Rincon³

2022

Preprint

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Recently, it was shown that power-Maxwell (PM) theory can remove the singularity of electric field [1]. Motivated by great interest in three-dimensional black holes and a surge of success in studying massive gravity from both the cosmological and astrophysical point of view, we investigate such black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive theory of gravity in the presence of PM electrodynamics. First, we extract exact three-dimensional solutions in the PM-dRGT massive gravity. Then we study geometrical properties including type of singularity and asymptotic behavior, and show that although there is a singularity at the origin for asymptotical (A)dS, only AdS solutions are covered by an event horizon. Calculating conserved and thermodynamic quantities, we check the validity of the first law of thermodynamics for the corresponding solutions and examine the stability of these black holes in context of canonical ensemble. We continue with the calculation of the optical features of this kind of black holes such as the shadow geometrical shape, the energy emission rate and the deflection angle. Taking into account these optical quantities, we analysis the effective role of the parameters of models on them. We also employ the correspondence between the quasinormal modes in the eikonal limit and shadow radius to study the scalar field perturbations in these backgrounds. Finally, we take advantage of the WKB method and investigate how the quasinormal modes will be disturbed for massive particles.

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“…Based on similar ideas, scale-dependent gravity is an alternative approach, where the coupling constants of the theory are allowed to vary [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. In addition to that, in higher dimensions, another possibility is the well-known Gauss-Bonnet gravity [44], and, more generically, Lovelock gravity [12] in which higher order curvature corrections are natural.…”

Section: Introductionmentioning

confidence: 99%

ISCOs and OSCOs in the Presence of a Positive Cosmological Constant in Massive Gravity

et al. 2021

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We study the impact of a non-vanishing (positive) cosmological constant on the innermost and outermost stable circular orbits (ISCOs and OSCOs, respectively) within massive gravity in four dimensions. The gravitational field generated by a point-like object within this theory is known, generalizing the usual Schwarzschild–de Sitter geometry of General Relativity. In the non-relativistic limit, the gravitational potential differs by the one corresponding to the Schwarzschild–de Sitter geometry by a term that is linear in the radial coordinate with some prefactor γ, which is the only free parameter. Starting from the geodesic equations for massive test particles and the corresponding effective potential, we obtain a polynomial of fifth order that allows us to compute the innermost and outermost stable circular orbits. Next, we numerically compute the real and positive roots of the polynomial for several different structures (from the hydrogen atom to stars and globular clusters to galaxies and galaxy clusters) considering three distinct values of the parameter γ, determined using physical considerations, such as galaxy rotation curves and orbital precession. Similarly to the Kottler spacetime, both ISCOs and OSCOs appear. Their astrophysical relevance as well as the comparison with the Kottler spacetime are briefly discussed.

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Photon trajectories on a first order scale-dependent static BTZ black hole

Cited by 28 publications

References 73 publications

Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity

Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity

Three-dimensional AdS black holes in massive-power-Maxwell theory

ISCOs and OSCOs in the Presence of a Positive Cosmological Constant in Massive Gravity

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