Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
arXiv:2409.11073 · doi:10.1140/epjc/s10052-025-13811-z
Abstract
We investigate the thermodynamics of a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the order of the event horizon radius and equating the variance in the momentum to the Hawking temperature of the black hole, we substitute these variances in the deformed algebra. From there we obtained the generalized uncertainty principle-modified black hole temperature and eventually the specific heat of the black hole. Then we calculate the critical as well as the remnant mass and obtain the entropy relation. We observe that the entropy relation includes the usual leading order ``\textit{area divided by four}" term, sub-leading logarithmic term, and higher order inverse of the area corrections. Finally, calculating the energy output as a function of time, we obtain the evaporation time of the black hole. The results show the dependence of the quintessence parameter on the thermodynamic quantities in the framework of linear and quadratic generalized uncertainty principle.
arXiv comment19 pages LATEX; OTM
References in corpus (51)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Lorentz invariance with an invariant energy scale
- Quintessence and black holes
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- The Generalized Uncertainty Principle and Black Hole Remnants
- BVRI Light Curves for 22 Type Ia Supernovae
- Loop Quantum Gravity
- Discreteness of Space from the Generalized Uncertainty Principle
- Quantum Gravity: a Progress Report
- A proposal for testing Quantum Gravity in the lab
- When conceptual worlds collide: The GUP and the BH entropy
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Quantum Uncertainty in Doubly Special Relativity
- Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
- (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
- String theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
- Thermodynamics of Accelerating Black Holes
- Black hole thermodynamics with generalized uncertainty principle
- Deformed Special Relativity as an effective flat limit of quantum gravity
- Hawking radiation in a -dimensional static spherically-symmetric black Hole surrounded by quintessence
- Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Black hole thermodynamics with generalized uncertainty principle
- Constraining the generalized uncertainty principle with the gravitational wave event GW150914
- Thermodynamics of a black hole based on a generalized uncertainty principle
- Generalized uncertainty principle and black hole thermodynamics
- Thermodynamics of Regular Accelerating Black Holes
- Black Hole Thermodynamics and Lorentz Symmetry
- Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
- Entropy in the interior of a black hole and thermodynamics
- Nariai black holes with quintessence
- Cold, ultracold and Nariai black holes with quintessence
- Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
- Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
- No Violation of the Second Law in Extended Black Hole Thermodynamics
- Remnant mass and entropy of black holes and modified uncertainty principle
- Some Astrophysical Aspects of a Schwarzschild Geometry Equipped with a Minimal Measurable Length
- Thermodynamics of two black holes
- Rainbow black hole thermodynamics and the generalized uncertainty principle
- Black hole thermodynamics and modified GUP consistent with doubly special relativity
- Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty
- Path integral action in the generalized uncertainty principle framework
- Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
- Thermodynamics of regular black holes with cosmic strings
- A Complementary Third Law for Black Hole Thermodynamics
- Thermodynamics of Bardeen regular black hole with generalized uncertainty principle
- The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
- Thermodynamics of black holes and the symmetric generalized uncertainty principle
- Uncertainty principle from the noise of gravitons
- Generalized uncertainty principle and neutrino phenomenology