Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity

Abstract

Motivated by integrating the dilaton field (as a UV correction) with dRGT-like massive gravity (as an IR correction) into Einstein gravity, we investigate the thermodynamic and optical properties of black holes within this gravitational framework. We begin by reviewing the black hole solutions in Maxwell-dilaton-dRGT-like massive gravity, followed by an analysis of how various parameters influence on the asymptotical behavior of the spacetime and the event horizon of these black holes. In the subsequent section, we examine the conserved and thermodynamic quantities associated with these black holes, paying particular attention to the effects of parameters like $\beta$, $\alpha$, and the massive parameters (${\eta }_1$ and ${\eta }_2$) on their local stability by simultaneously evaluating the heat capacity and temperature. We also adopt an alternative method to study phase transitions using geometrothermodynamics. Furthermore, we explore how the parameters of Maxwell-dilaton-dRGT-like massive gravity impacts the optical characteristics and radiative behavior of black holes. In particular, we analyze the effects of the dilaton coupling constant ($\alpha$), charge ($q$), the massive gravity parameter (${\eta }_1$), and the graviton mass ($m_g$) on the radius of the photon sphere and the resulting black hole shadow. Moreover, the theoretical shadow radius is compared to the observational data from $Sgr{A}^{\ast }$. Additionally, we investigate the energy emission rate of these black holes, revealing that these parameters substantially influence the emission peak.

26 pages, 13 figures, 1 table

References in corpus (60)

• Resummation of Massive Gravity
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Massive Gravity in Three Dimensions
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Calculating black hole shadows: Review of analytical studies
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Geometrothermodynamics
• Thermodynamics of Black Holes in Massive Gravity
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Geometrothermodynamics of black holes
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Quasi-Dilaton: Theory and Cosmology
• Distortions of images of Schwarzschild lensing
• Possible signature of magnetic fields related to quasi-periodic oscillation observed in microquasars
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Shadow cast by a rotating charged black hole in quintessential dark energy
• Van der Waals criticality in AdS black holes: a phenomenological study
• Greybody factor and quasinormal modes of Regular Black Holes
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Particle collisions in ergoregion of braneworld Kerr black hole
• Van Der Waals Black Holes in $d$ dimensions
• Shadow cast and center of mass energy in a charged Gauss-Bonnet-AdS black hole
• Critical phenomena and chemical potential of charged AdS black hole
• A new quasidilaton theory of massive gravity
• Black holes in dRGT massive gravity with the signature of EHT observations of M87*
• Topological classes of higher-dimensional black holes in massive gravity
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity
• Optical features of rotating quintessential charged black holes in de-Sitter spacetime
• Rotating black hole mimicker surrounded by the string cloud
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Spherically symmetric analysis on open FLRW solution in non-linear massive gravity
• Effect of massive graviton on dark energy star structure
• Black hole solutions correspondence between conformal and massive theories of gravity
• Quark stars in massive gravity might be candidates for the mass gap objects
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Aether-quasi-dilaton massive gravity
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Modeling of non-rotating neutron stars in minimal dilatonic gravity
• Static spheres and Aschenbach effect for black holes in massive gravity
• Thermodynamics of charged black holes in Maxwell-dilaton-massive gravity
• Black holes in massive Einstein-dilaton gravity

Cited by in corpus (1)

• Born-Infeld AdS Black Holes Surrounded by Perfect Fluid Dark Matter