Thermodynamic and observational implications of black holes in toroidal geometry

Abstract

We investigate the thermodynamic and observational implications for the charged torus-like black holes, a class of solutions distinct from the classical Schwarzschild black holes. We explicitly derive the fundamental thermodynamic properties, such as heat capacity, P-V diagram, isothermal compressibility, Helmholtz free energy, and Gibbs free energy, under different entropy models. We find that only the exponential corrected entropy demonstrates multiple phase transitions, which we validate with the Ricci Scalar divergence obtained from the Ruppeiner formalism. This indicates that exponential corrected entropy is more sensitive to BH's microstructure as compared to the Hawking-Bekenstein and Rènyi entropy models. In addition, we study the sparsity and emission rates of Hawking radiation, demonstrating that exponential correction entropy yields more consistent and stable behavior. In our observational analysis, we graphically demonstrate the behavior of redshift, blueshift, and gravitational shift, and identify specific conditions where the photon sphere radius exceeds the innermost stable circular orbit radius, which depends on the values of parameters such as electric charge and cosmological constant. The novel insight of this work is that despite this violation, our computed redshift, blueshift, and gravitational shifts fall within the range of the observational data of NGC 4258 and UGC 3789.

arXiv comment34 pages, 9 figures, Published in Progress of Theoretical and Experimental Physics

References in corpus (75)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
• Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Pressure and volume in the first law of black hole thermodynamics
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• The cosmological constant and the black hole equation of state
• The Area of a Rough Black Hole
• Hawking Radiation and Black Hole Thermodynamics
• Generalized entropy formalism and a new holographic dark energy model
• Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole
• The Megamaser Cosmology Project. III. Accurate Masses of Seven Supermassive Black Holes in Active Galaxies with Circumnuclear Megamaser Disks
• Compressibility of rotating black holes
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Early and late universe holographic cosmology from a new generalized entropy
• The Geometry of and Mass Accretion Rate through the Maser Accretion Disk in NGC 4258
• Topology of black hole thermodynamics
• Thermodynamic Curvature of the BTZ Black Hole
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• On the Thermodynamic Geometry of BTZ Black Holes
• The Megamaser Cosmology Project: I. VLBI observations of UGC 3789
• Where is the PdV term in the first law of black hole thermodynamics?
• The Hawking cascade from a black hole is extremely sparse
• Area-law versus Rényi and Tsallis black hole entropies
• Exponential corrections to black hole entropy
• The Emergence of an Effective two - dimensional Quantum Description from the study of Critical Phenomena in Black Holes
• Geometric description of BTZ black holes thermodynamics
• Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
• Galactic Center Research: Manifestations of the Central Black Hole
• Van der Waals criticality in AdS black holes: a phenomenological study
• Critical behavior in 2+1 dimensional black holes
• Kerr black hole parameters in terms of red/blue shifts of photons emitted by geodesic particles
• Novel phase transition in charged dilaton black holes
• Alternative entropies and consistent black hole thermodynamics
• Thermogeometric phase transition in a unified framework
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics
• Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr-Newman-de Sitter and Kerr-Newman black hole geometries
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• A general framework to study the extremal phase transition of black holes
• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Barrow Entropy and AdS Black Holes in RPS Thermodynamics
• Obtaining mass parameters of compact objects from red-blue shifts emitted by geodesic particles around them
• Bardeen solution with a cloud of strings
• Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
• Critical Behavior of Dimensionally Continued Black Holes
• Dynamics of Particles Near Black Hole with Higher Dimensions
• Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Kerr black hole in de Sitter spacetime and observational redshift: Toward a new method to measure the Hubble constant
• Critical behavior of charged dilaton black holes in AdS space
• Toward the Gravitational Redshift Detection in NGC 4258 and the Estimation of its Black Hole Mass-to-Distance Ratio
• Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy
• A general relativistic mass-to-distance ratio for a set of megamaser AGN black holes
• Probing a polymerized black hole with the frequency shifts of photons
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Charged torus-like black holes as heat engines
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Observational redshift from general spherically symmetric black holes
• Exploring the Effects of Generalized Entropy onto Bardeen Black Hole Surrounded by Cloud of Strings
• Mass, charge, and distance to Reissner-Nordström black hole in terms of directly measurable quantities
• Estimating the mass-to-distance ratio for a set of megamaser AGN black holes by employing a general relativistic method
• Schwarzschild black hole and redshift rapidity: A new approach towards measuring cosmic distances
• Rényi Entropy and the Topological Features of Charged AdS Black Hole
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism