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

Abstract

In this paper we study the motion of massless particles on a static BTZ black hole background in the context of scale-dependent gravity, which is characterized by the running parameter $\epsilon$. Thus, by using standard methods we obtain the equation of motions and then analytic solutions are found. The relevant non-trivial differences appear when we compare our solution against the classical counterpart.

arXiv comment9 pages, 6 figures

References in corpus (49)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Black Hole in Three Dimensional Space Time
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• Geometry of the 2+1 Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• The (2+1)-Dimensional Black Hole
• Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Shadow of rotating regular black holes
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Three-dimensional quantum geometry and black holes
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Photon Regions and Shadows of Accelerated Black Holes
• The geodesic structure of the Schwarzschild Anti-de Sitter black hole
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• Geodesic Structure of the 2 + 1 Black Hole
• Stellar Equilibrium in 2+1 Dimensions
• Background independence in a background dependent renormalization group
• Large curvature and background scale independence in single-metric approximations to asymptotic safety
• Background independent exact renormalization group for conformally reduced gravity
• Scale-dependent (2+1) - dimensional electrically charged black holes in Einstein-power-Maxwell theory
• Quasinormal Modes of Modified Gravity (MOG) Black Holes
• Quasinormal modes of black holes in Einstein-power-Maxwell theory
• Quasinormal Modes of Extremal BTZ Black Hole
• Greybody factors and quasinormal modes for a nonminimally coupled scalar field in a cloud of strings in (2+1)-dimensional background
• A regular scale-dependent black hole solution
• Scale-dependent polytropic black hole
• Scale-dependent rotating BTZ black hole
• BTZ black hole assuming running couplings
• Black hole shadow of a rotating polytropic black hole by the Newman--Janis algorithm without complexification
• Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: Exact spectrum
• Scale--dependent Hayward black hole and the generalized uncertainty principle
• Background Scale Independence in Quantum Gravity
• Relativistic dust accretion onto a scale--dependent polytropic black hole
• All Static Circularly Symmetric Perfect Fluid Solutions of 2+1 Gravity
• A self-sustained traversable scale-dependent wormhole
• On the null energy condition in scale dependent frameworks with spherical symmetry
• Cosmological constant problem: deflation during inflation
• Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
• Quasinormal modes of the BTZ black hole under scalar perturbations with a non-minimal coupling: Exact spectrum
• Production of tau tau jj final states at the LHC and the TauSpinner algorithm: the spin-2 case
• On the thermal description of the BTZ black holes
• About the coordinate time for photons in Lifshitz Space-times

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• Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes
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• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
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• Geodesic analysis and black hole shadows on a general non--extremal rotating black hole in five--dimensional gauged supergravity
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• The effects of running gravitational coupling on three dimensional black holes
• Gravitational Collapse in Scale-Dependent Gravity
• New black hole solutions in three-dimensional $f(R)$ gravity
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Adiabatic analysis of the rotating BTZ black hole
• ISCOs and OSCOs in the presence of a positive cosmological constant in massive gravity
• Binary X-ray sources in massive Brans-Dicke gravity
• Quasinormal modes of a scale-dependent black hole in 5D spacetime with cosmological constant