Strong Deflection Limit Lensing Effects in the Minimal Geometric Deformation and Casadio-Fabbri-Mazzacurati Solutions

Abstract

In this paper we apply the strong deflection limit approach to investigate the gravitational lensing phenomena beyond general relativity. This is accomplished by considering the lensing effects related to black hole solutions that emerge out of the domain of Einstein gravity, namely, the ones acquired from the method of geometric deformation and the Casadio-Fabbri-Mazzacurati brane-world black holes. The lensing observables, for those brane-world black hole metrics, are compared with the standard ones for the Schwarzschild case. We prove that brane-world black holes could have significantly different observational signatures, compared to the Schwarzschild black hole, with terms containing the post-Newtonian parameter, for the case of the Casadio-Fabbri-Mazzacurati, and terms with variable brane-world tension, for the method of geometric deformation.

References in corpus (11)

• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Gravitational Lensing by Wormholes
• A comparison of approximate gravitational lens equations and a proposal for an improved new one
• Brane-world stars with solid crust and vacuum exterior
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Non-uniform Braneworld Stars: an Exact Solution
• Friedmann branes with variable tension
• Black string corrections in variable tension braneworld scenarios
• The Gaia Project - technique, performance and status
• Casadio-Fabbri-Mazzacurati Black Strings and Braneworld-induced Quasars Luminosity Corrections
• Two-branes with variable tension model and the effective Newtonian constant

Cited by in corpus (55)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• Black holes by gravitational decoupling
• Hairy black holes by gravitational decoupling
• Isotropization and change of complexity by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Anisotropic Tolman VII solution by gravitational decoupling
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Minimal geometric deformation decoupling in $2+1$ dimensional space-times
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• Gravitationally decoupled strange star model beyond standard maximum mass limit in Einstein-Gauss-Bonnet gravity
• Einstein-Klein-Gordon by gravitational decoupling
• Minimal Geometric Deformation: the inverse problem
• Dark SU(N) glueball stars on fluid branes
• Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma
• Strong deflection gravitational lensing by a modified Hayward black hole
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• GUP Hawking fermions from MGD black holes
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• The extended minimal geometric deformation of SU($N$) dark glueball condensates
• Extended quantum portrait of MGD black holes and information entropy
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• MGD Dirac stars
• The minimal of geometric deformation of Yang-Mills-Dirac stellar configurations
• Gravitational decoupling in $2+1$ dimensional space--times with cosmological term
• Anisotropic 2+1 dimensional black holes by gravitational decoupling
• Gregory-Laflamme analysis of MGD black strings
• The Minimal Geometric Deformation Approach: a brief introduction
• A review on analytical studies in Gravitational Lensing
• Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
• Holographic entanglement entropy under the minimal geometric deformation and extensions
• Probing the minimal geometric deformation with trace and Weyl anomalies
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Near horizon thermodynamics of hairy black holes from gravitational decoupling
• Gravitational decoupling of generalized Horndeski hybrid stars
• Braneworld Gravity under gravitational decoupling
• Gravitational decoupling and superfluid stars
• A note of the first law of thermodynamics by gravitational decoupling
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• Gravitational decoupling for hairy black holes in asymptotically AdS spacetimes
• Axion stars in MGD background
• Gravitational decoupling and aerodynamics: black holes and analog gravity in a jet propulsion lab
• Study of light deflection and shadow from a hairy black hole under the influence of the non-magnetic plasma
• Gravitational lensing by a stable rotating regular black hole
• Time delay in the strong field limit for null and timelike signals and its simple interpretation
• Searching for modified gravity: a conformal sector?
• Hair imprints of the gravitational decoupling and hairy black hole spectroscopy
• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes