Infrared Extended Uncertainty Principle corrections and quintessence-induced topology of Reissner–Nordström AdS black holes
Sekhmani Y. Luciano G.G. Gashti S.N. Baruah A.
October 2025Academic Press Inc.
Annals of Physics
2025#481
We present a unified topological and geometric analysis of charged Anti-de Sitter (AdS) black holes immersed in a quintessence field, incorporating infrared gravitational corrections arising from the Extended Uncertainty Principle (EUP). The latter modifies the standard Heisenberg uncertainty relation by introducing a minimal momentum/maximal length scale, which effectively captures long-wavelength quantum gravitational effects relevant to black hole thermodynamics in curved spacetimes. We derive analytic expressions for the corrected Hawking temperature, entropy and heat capacity in terms of the EUP deformation parameter. Furthermore, the inclusion of quintessence, characterized by barotropic indices [Formula presented], modifies the black hole metric function. By studying the relaxation-time function τ(rh), we identify a number of inflection points that depends sensitively on the equation of state parameter of quintessence, indicating a nontrivial impact of the latter on the black hole phase structure. Applying Duans topological current method to the off-shell free energy, we compute integer-valued winding numbers associated with each thermodynamic critical point. A parallel topological analysis of the photon sphere assigns charges ±1 to individual light rings, showing that quintessence effects can trigger the splitting or merging of photon spheres, while preserving the total exterior topological charge of −1.
Black Hole Thermodynamics , Dark energy , Extended Uncertainty Principle , IR gravity , Phase transitions
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Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, Rajpura, 140401, India
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa, 616, Oman
Departamento de Química, Física y Ciencias Ambientales y del Suelo, Escuela Politécnica Superior – Lleida, Universidad de Lleida, Av. Jaume II, 69, Lleida, 25001, Spain
School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran
Department of Physics, Assam University, Assam, Cachar, 788011, India
Center for Theoretical Physics
Centre for Research Impact & Outcome
Institute of Nuclear Physics
Department of Mathematical and Physical Sciences
Departamento de Química
School of Physics
Department of Physics
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