Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
arXiv:2508.14953 · doi:10.1016/j.aop.2025.170187
Abstract
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 \(ω_q = -\frac{2}{3}\) and \(ω_q = -\frac{1}{3}\), modifies the black hole metric function. By studying the relaxation-time function , 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 Duan's 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 \( \pm 1 \) 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 .
12 pages, 6 figures
References in corpus (27)
- Light ring stability in ultra-compact objects
- Black Hole Solutions as Topological Thermodynamic Defects
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- Topology of black hole thermodynamics
- Topological Charge and Black Hole Photon Spheres
- Topology of black hole thermodynamics in Lovelock gravity
- No-Hair Theorem in the Wake of Event Horizon Telescope
- Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
- Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
- Bardeen Black Hole Thermodynamics from Topological Perspective
- Topological classification and black hole thermodynamics
- Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
- Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
- Effect of the quintessential dark energy on weak deflection angle by Kerr-Newmann Black hole
- The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes
- criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
- Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
- Bulk-boundary and RPS Thermodynamics from Topology perspective
- Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
- Mutual Influence of Photon Sphere and Non-Commutative Parameter in Various Non-Commutative Black Holes: Part I- Towards evidence for WGC
- Effective Potential and Topological Photon Spheres: A Novel Approach to Black Hole Parameter Classification
- Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
- Thermodynamic topology of topological charged dilatonic black holes
- Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
- Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
- The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
- EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter