Nuclear and High Energy Physics, Physics and Astronomy
141
Scopus Publications
3482
Scholar Citations
35
Scholar h-index
95
Scholar i10-index
Scopus Publications
Some electrostatic implications of exponential corrections to black hole entropy Khaja Zuber Amin, Sudhaker Upadhyay, Nadeem-ul-Islam, Prince A. Ganai International Journal of Geometric Methods in Modern Physics, 2026 Quantum corrections to the Bekenstein–Hawking area law reveal profound insights into the nature of black hole entropy. The literature has established quantum corrections to the Bekenstein–Hawking area law: Exponential corrections of the form [Formula: see text] derived from horizon-confined quantum state enumeration. Building upon the entropic force framework of Verlinde, we demonstrate that the exponential modification to black hole entropy can provide a theoretical foundation for electrostatic phenomena. We develop a quantum-corrected formulation of Coulomb’s law and the Poisson equation for the scalar potential [Formula: see text], both of which integrate the exponential entropy correction derived from black hole physics. These findings strengthen the theoretical bridge between gravitational and electrostatic interactions, providing new evidence of the fundamental role of holographic principle in unifying these forces.
Thermodynamic phase structure and shadow analysis of 4D AdS skyrmion black holes Himanshu Kumar Sudhanshu, Dharm Veer Singh, Sudhaker Upadhyay, Yerlan Myrzakulov, Kairat Myrzakulov International Journal of Modern Physics A, 2026 This study systematically analyzes the Einstein–Skyrme black hole, also called skyrmion black hole, solution in four-dimensional AdS space–time, focusing on its geometric, thermodynamic and optical properties. The black hole solution is characterized by the mass parameter, cosmological constant and skyrmion parameters (K and [Formula: see text]), which significantly influence its horizon structure. Increasing these parameters reduces the event horizon radius and, in certain cases, prevents horizon formation. The thermodynamic properties examined include mass, temperature, entropy, specific heat and Gibbs free energy. The black hole mass exhibits nonmonotonic behavior, and the Hawking temperature follows a characteristic rise and fall influenced by skyrmion parameters. Stability analysis reveals second-order phase transitions, with smaller black holes generally more stable. The Gibbs free energy remains positive, indicating global thermodynamic instability. We extend the analysis to the thermodynamic phase space of the black hole that exhibits Van der Waals-like phase transitions, with critical points consistent with the Van der Waals equation. Optical properties and shadow thermodynamics are also explored, showing that skyrmion parameters significantly alter photon trajectories for small black holes, and the shadow thermal profile is consistent with the temperature and shadow radius. These findings provide deeper insights into the interplay between skyrmions and black hole physics in AdS space–time.
More exact thermodynamic analysis of topological black holes in R2 gravity Sudhaker Upadhyay, Jyotish Kumar, Dharm Veer Singh, Yerlan Myrzakulov, Kairat Myrzakulov, Abhishek Ashish International Journal of Modern Physics A, 2026 This study investigates the thermodynamics of topological black hole solutions in [Formula: see text] gravity, incorporating the effects of small statistical fluctuations up to first-order corrections. We precisely calculate entropy, internal energy, Helmholtz free energy, specific heat, enthalpy and Gibbs free energy, accounting for perturbative thermal corrections. Our results reveal that the internal energy of small black holes diverges asymptotically due to these fluctuations. The corrected Gibbs free energy attains asymptotically high values for small horizon radii. In contrast, the equilibrium Gibbs free energy approaches zero. Additionally, we assess the stability of the black hole in the presence of these thermal fluctuations. We find that, in contrast to the equilibrium state, the thermal fluctuation introduces a double phase transition to the stability of the black hole. Our analysis reveals that the influence of fluctuations is notably significant, primarily for small black holes. These findings offer new insights into the thermodynamic properties of topological black holes in the presence of thermal fluctuations.
Refined thermodynamic analysis of perfect fluid dark matter black holes in a phantom background Jyotish Kumar, Sudhaker Upadhyay, Himanshu Kumar Sudhanshu, Yerlan Myrzakulov, Kairat Myrzakulov International Journal of Modern Physics A, 2025 In this study, we examine the thermodynamics of black holes immersed in perfect fluid dark matter (PFDM) by employing the Misner-Sharp energy framework. We extend the analysis to include the thermal fluctuations of these black holes when size reduces to small size, redefining key thermodynamic variables such as pressure, volume, temperature, internal energy, and entropy within the context of PFDM. Using these newly defined variables, we systematically calculate the enthalpy, Gibbs free energy, and specific heat of PFDM black holes, incorporating perturbative thermal corrections. To assess the stability of these black holes, we perform a detailed graphical analysis of the specific heat as a function of the horizon radius, providing insights into the thermal stability of PFDM black holes. This comprehensive approach enhances our understanding of the thermodynamic properties and stability of black holes in the presence of dark matter.
Phantom BTZ black holes: Thermal properties under perturbative corrections Kumar Sambhav Upadhyay, Sudhaker Upadhyay, Bhabani Prasad Mandal Nuclear Physics B, 2025 This study investigates the thermodynamics of phantom BTZ black holes by incorporating leading-order perturbative corrections arising from small statistical fluctuations around equilibrium. Starting from the phantom BTZ black holes review, we describe a modified action in three-dimensional spacetime that includes coupling with a Maxwell or phantom field. The analysis derives the corresponding field equations and obtains exact solutions for the metric and thermodynamic quantities. The corrected entropy is computed using the steepest descent method. It is expressed in terms of the leading-order entropy and Hawking temperature. Standard thermodynamic relations yield the corrected mass, Helmholtz free energy, specific heat, and Gibbs free energy. These corrections reveal significant deviations from classical results, particularly in the small black hole regime where statistical effects become prominent. Graphical analysis shows that the corrected entropy becomes negative for sufficiently small black holes, indicating potential limitations in thermodynamic stability under perturbative corrections. Furthermore, the influence of thermal fluctuations proves substantial for the small black holes and negligible for larger black holes. In this work, we have also calculated critical points and critical compressibility factor ( Z c ) of the phantom BTZ black hole, treating it as a Van der Waals fluid. This work provides a comprehensive understanding of how statistical fluctuations modify the thermodynamics of phantom BTZ black holes. It underscores the necessity of including such corrections in realistic models of black hole thermodynamics in ( 2 + 1 ) dimensions.
Quantum thermodynamics of an M2-M5 brane system Behnam Pourhassan, Houcine Aounallah, Mir Faizal, Sudhaker Upadhyay, Saheb Soroushfar, Yermek O. Aitenov, Salman Sajad Wani Journal of High Energy Physics, 2022
Clustering of galaxies with f(R) gravity Salvatore Capozziello, Mir Faizal, Mir Hameeda, Behnam Pourhassan, Vincenzo Salzano, Sudhaker Upadhyay Monthly Notices of the Royal Astronomical Society, 2018
Small-Scale Gravitational Anomaly Induced by Peculiar Massive Photon Dynamics H Kumar, B Pourhassan, H Farahani, S Upadhyay Foundations of Physics 56 (3), 30 , 2026 2026
Thermodynamic phase structure and shadow analysis of 4D AdS skyrmion black holes HK Sudhanshu, DV Singh, S Upadhyay, Deepika, Y Myrzakulov, ... International Journal of Modern Physics A 41 (14), 2650089 , 2026 2026
Extended thermodynamics and Criticality of Kalb–Ramond black hole coupled with nonlinear electrodynamics DV Singh, S Upadhyay, P Paul, K Myrzakulov The European Physical Journal Plus 141 (4), 364 , 2026 2026 Citations: 2
More exact thermodynamic analysis of topological black holes in gravity S Upadhyay, J Kumar, D Veer Singh, Y Myrzakulov, K Myrzakulov, ... International Journal of Modern Physics A 41 (04), 2650032 , 2026 2026 Citations: 1
Thermodynamics, shadow, and quasinormal modes of AdS Ayón–Beato–García massive black hole DV Singh, S Upadhyay, A Kumar, Y Myrzakulov, K Myrzakulov, ... Annals of Physics, 170382 , 2026 2026 Citations: 1
Corrected Thermodynamics of Regular PB Hole, KS Upadhyay, S Upadhyay Proceedings of the XXVI DAE-BRNS High Energy Physics (HEP) Symposium 2024 … , 2026 2026
Some electrostatic implications of exponential corrections to black hole entropy KZ Amin, S Upadhyay, PA Ganai International Journal of Geometric Methods in Modern Physics 23 (8), 2550219-170 , 2026 2026
Existence and Qualitative Properties of Radial Solutions to a Nonlinear Equation on Lifshitz Black Hole Backgrounds S Upadhyay Analytical and Numerical Solutions for Nonlinear Equations 10 (2), 200-218 , 2025 2025
Nonlinear Elliptic Equations in Black Hole Holography: Existence, Uniqueness, and Asymptotics S Upadhyay Analytical and Numerical Solutions for Nonlinear Equations 10 (2), 287-299 , 2025 2025
Holography and the Swampland: Constraints on Quantum Gravity from Holographic Principles S Upadhyay, A Reshetnyak, P Moshin, R Castro arXiv preprint arXiv:2512.14389 , 2025 2025
Conference Proceedings of International Conference on Astroparticle Physics, Gravitation and Cosmology (APGC-2025) DR Kumar, J Kaur, SD Pathak, M Khlopov, M Krasnov, G Bhandari, ... Journal of Holography Applications in Physics 5 (Conference Proceedings … , 2025 2025
On the Nonlinear Equation of State in Black Hole Thermodynamics S Upadhyay Analytical and Numerical Solutions for Nonlinear Equations 9 (2), 270-279 , 2025 2025
Phantom BTZ black holes: Thermal properties under perturbative corrections KS Upadhyay, S Upadhyay, BP Mandal Nuclear Physics B, 117078 , 2025 2025
Refined thermodynamic analysis of perfect fluid dark matter black holes in a phantom background J Kumar, S Upadhyay, HK Sudhanshu, Y Myrzakulov, K Myrzakulov arXiv preprint arXiv:2508.06578 , 2025 2025
Phantom BTZ Black Holes: Thermal Properties Under Perturbative Corrections K Sambhav Upadhyay, S Upadhyay, BP Mandal arXiv e-prints, arXiv: 2508.17339 , 2025 2025
Rényi entropy and the topological features of charged AdS black hole M Yasir, T Lining, F Mushtaq, X Tiecheng, S Upadhyay, AB Brzo, ... Chinese Journal of Physics 96, 1272-1288 , 2025 2025 Citations: 3
Thermodynamic behavior and phase transitions of black holes with a cloud of strings and perfect fluid dark matter DV Singh, S Upadhyay, Y Myrzakulov, K Myrzakulov, B Singh, M Kumar Nuclear Physics B 1016, 116915 , 2025 2025 Citations: 21
Exploring non-perturbative effects on quasi-topological black hole thermodynamics VK Srivastava, S Upadhyay, AK Verma, DV Singh, Y Myrzakulov, ... Physics of the Dark Universe 48, 101915 , 2025 2025 Citations: 4
Thermodynamics of Quantum Black Holes: Holography B Pourhassan, S Upadhyay Damghan University Press 3 (Thermodynamics of Quantum Black Holes … , 2025 2025 Citations: 1
Impact of Perfect Fluid Dark Matter on the Thermodynamics of $ AdS $ Ay\'{o} n--Beato--Garc\'{i} a Black Holes A Kumar, DV Singh, S Upadhyay arXiv preprint arXiv:2503.04805 , 2025 2025 Citations: 6
MOST CITED SCHOLAR PUBLICATIONS
criticality of first-order entropy corrected AdS black holes in massive gravity S Upadhyay, B Pourhassan, H Farahani Physical Review D 95 (10), 106014 , 2017 2017 Citations: 127
Quantum gravity effects on Hořava–Lifshitz black hole B Pourhassan, S Upadhyay, H Saadat, H Farahani Nuclear Physics B 928, 415-434 , 2018 2018 Citations: 106
Charged BTZ black holes in the context of massive gravity’s rainbow SH Hendi, S Panahiyan, S Upadhyay, B Eslam Panah Physical Review D 95 (8), 084036 , 2017 2017 Citations: 104
Quantum corrections to thermodynamics of quasitopological black holes S Upadhyay Physics Letters B 775, 130-139 , 2017 2017 Citations: 77
Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory S Soroushfar, R Saffari, S Upadhyay General Relativity and Gravitation 51 (10), 130 , 2019 2019 Citations: 75
Off-shell nilpotent finite Becchi–Rouet–Stora–Tyutin (BRST)/anti-BRST transformations S Upadhyay, SK Rai, BP Mandal Journal of Mathematical Physics 52 (2) , 2011 2011 Citations: 73
Thermal fluctuations in a hyperscaling-violation background B Pourhassan, M Faizal, S Upadhyay, LA Asfar The European Physical Journal C 77 (8), 555 , 2017 2017 Citations: 72
A modified thermodynamics of rotating and charged BTZ black hole S Upadhyay, PA Ganai arXiv preprint arXiv:1912.00767 , 2019 2019 Citations: 71
Leading-order corrections to charged rotating AdS black holes thermodynamics S Upadhyay General Relativity and Gravitation 50 (10), 128 , 2018 2018 Citations: 70
Finite BRST transformations for the Bagger–Lambert–Gustavsson theory M Faizal, BP Mandal, S Upadhyay Physics Letters B 721 (1-3), 159-163 , 2013 2013 Citations: 64
Thermodynamics of higher-order entropy corrected Schwarzschild–Beltrami–de Sitter black hole B Pourhassan, H Farahani, S Upadhyay International Journal of Modern Physics A 34 (28), 1950158 , 2019 2019 Citations: 62
Thermal fluctuations of charged black holes in gravity’s rainbow S Upadhyay, SH Hendi, S Panahiyan, BE Panah Progress of Theoretical and Experimental Physics 2018 (9), 093E01 , 2018 2018 Citations: 62
Clustering of galaxies with f ( R ) gravity S Capozziello, M Faizal, M Hameeda, B Pourhassan, V Salzano, ... Monthly Notices of the Royal Astronomical Society 474 (2), 2430-2443 , 2018 2018 Citations: 60
Perturbed thermodynamics of charged black hole solution in Rastall theory B Pourhassan, S Upadhyay The European Physical Journal Plus 136 (3), 311 , 2021 2021 Citations: 59
Finite nilpotent symmetry in Batalin-Vilkovisky formalism BP Mandal, SK Rai, S Upadhyay EPL (Europhysics Letters) 92 (2), 21001 , 2010 2010 Citations: 58
Relating Gribov-Zwanziger theory to effective Yang-Mills theory S Upadhyay, BP Mandal EPL (Europhysics Letters) 93 (3), 31001 , 2011 2011 Citations: 55
Generalized BRST transformation in Abelian rank-2 antisymmetric tensor field theory S Upadhyay, BP Mandal Modern Physics Letters A 25 (40), 3347-3362 , 2010 2010 Citations: 54
Logarithmic-corrected van der Waals black holes in higher-dimensional AdS space S Upadhyay, B Pourhassan Progress of Theoretical and Experimental Physics 2019 (1), 013B03 , 2019 2019 Citations: 53
Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics S Soroushfar, S Upadhyay Physics Letters B 804, 135360 , 2020 2020 Citations: 51
Exponential corrected thermodynamics of Born–Infeld BTZ black holes in massive gravity B Pourhassan, M Dehghani, S Upadhyay, İ Sakallı, DV Singh Modern Physics Letters A 37 (33n34), 2250230 , 2022 2022 Citations: 50
