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.

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

References in corpus (37)

• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Early and late universe holographic cosmology from a new generalized entropy
• Topology of black hole thermodynamics
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Area-law versus Rényi and Tsallis black hole entropies
• Exponential corrections to black hole entropy
• Geometric description of BTZ black holes thermodynamics
• Van der Waals criticality in AdS black holes: a phenomenological study
• 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
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• A general framework to study the extremal phase transition of black holes
• 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
• Dynamics of Particles Near Black Hole with Higher Dimensions
• 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
• Toward the Gravitational Redshift Detection in NGC 4258 and the Estimation of its Black Hole Mass-to-Distance Ratio
• A general relativistic mass-to-distance ratio for a set of megamaser AGN black holes
• Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy
• Probing a polymerized black hole with the frequency shifts of photons
• Charged torus-like black holes as heat engines
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Observational redshift from general spherically symmetric black holes
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• 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
• Schwarzschild black hole and redshift rapidity: A new approach towards measuring cosmic distances
• Estimating the mass-to-distance ratio for a set of megamaser AGN black holes by employing a general relativistic method
• 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