RECORD
Thermodynamics and logarithmic corrections of symmergent black holes
General Relativity and Quantum Cosmology · Submitted 24 Feb 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is determined that a stable model is generated by logarithmic corrections arising from thermal fluctuations.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
In this paper, we study quantum gravity effect on the symmergent black hole which is derived from quadratic-curvature gravity. To do so, we use the Klein-Gordon equation which is modified by generalized uncertainty principle (GUP). After solving the field equations, we examine the symmergent black hole's tunneling and Hawking temperature. We explore the graphs of the temperature through the outer horizon to check the GUP influenced conditions of symmergent black hole stability. We also explain how symmergent black holes behave physically when influenced by quantum gravity. The impacts of thermal fluctuations on the thermodynamics of a symmergent black holes spacetime are examined. We first evaluate the model under consideration's thermodynamic properties, such as its Hawking temperature, angular velocity, entropy, and electric potential. We evaluate the logarithmic correction terms for entropy around the equilibrium state in order to examine the impacts of thermal fluctuations. In the presence of these correction terms, we also examine the viability of the first law of thermodynamics. Finally, we evaluate the system's stability using the Hessian matrix and heat capacity. It is determined that a stable model is generated by logarithmic corrections arising from thermal fluctuations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we study quantum gravity effect on the symmergent black hole which is derived from quadratic-curvature gravity. | contribution 0.98 | 0.83 | 0.03 | asserted 0.81 |
| s1 | To do so, we use the Klein-Gordon equation which is modified by generalized uncertainty principle (GUP). | method 1.00 | 0.90 | 0.02 | asserted 0.98 |
| s2 | After solving the field equations, we examine the symmergent black hole's tunneling and Hawking temperature. | method 0.60 | 0.95 | 0.03 | asserted 0.93 |
| s3 | We explore the graphs of the temperature through the outer horizon to check the GUP influenced conditions of symmergent black hole stability. | method 0.62 | 0.94 | 0.04 | asserted 0.70 |
| s4 | We also explain how symmergent black holes behave physically when influenced by quantum gravity. | contribution 0.74 | 0.84 | 0.06 | asserted 0.78 |
| s5 | The impacts of thermal fluctuations on the thermodynamics of a symmergent black holes spacetime are examined. | contribution 0.99 | 0.88 | 0.04 | asserted 0.85 |
| s6 | We first evaluate the model under consideration's thermodynamic properties, such as its Hawking temperature, angular velocity, entropy, and electric potential. | method 0.60 | 0.94 | 0.03 | asserted 0.98 |
| s7 | We evaluate the logarithmic correction terms for entropy around the equilibrium state in order to examine the impacts of thermal fluctuations. | method 0.89 | 0.94 | 0.04 | asserted 0.93 |
| s8 | In the presence of these correction terms, we also examine the viability of the first law of thermodynamics. | method 0.55 | 0.92 | 0.04 | unclear 0.51 |
| s9 | Finally, we evaluate the system's stability using the Hessian matrix and heat capacity. | method 0.98 | 0.94 | 0.07 | asserted 0.87 |
| s10 | It is determined that a stable model is generated by logarithmic corrections arising from thermal fluctuations. | result 0.99 | 0.91 | 0.81 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
In this paper, we study quantum gravity effect on the symmergent black hole which is derived from quadratic-curvature gravity. To do so, we use the Klein-Gordon equation which is modified by generalized uncertainty principle (GUP). After solving the field equations, we examine the symmergent black hole's tunneling and Hawking temperature. We explore the graphs of the temperature through the outer horizon to check the GUP influenced conditions of symmergent black hole stability. We also explain how symmergent black holes behave physically when influenced by quantum gravity. The impacts of thermal fluctuations on the thermodynamics of a symmergent black holes spacetime are examined. We first evaluate the model under consideration's thermodynamic properties, such as its Hawking temperature, angular velocity, entropy, and electric potential. We evaluate the logarithmic correction terms for entropy around the equilibrium state in order to examine the impacts of thermal fluctuations. In the presence of these correction terms, we also examine the viability of the first law of thermodynamics. Finally, we evaluate the system's stability using the Hessian matrix and heat capacity. It is determined that a stable model is generated by logarithmic corrections arising from thermal fluctuations.
Human review
How the literature uses it
5 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 2 papers
-
The thermodynamics of black holes, thus, remains a crucial tool in unravelling the mysteries of quantum gravity and understanding the fundamental nature of spacetime [ref] .
Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations · Introduction · 0.91
-
Studies of symmergent gravity in relation to black holes [ref] have started a novel research direction.
Constraints on charged Symmergent black hole from shadow and lensing · Conclusion and Future Prospects · 0.97
What it cites · 52 sentences without a confident label
Uses the method or tool of 5 papers
-
Under the steepest decent method, the equation of corrected entropy takes the the following form [ref] [equation] By using the conditions $∂S̃/∂ξ=0$ and $∂^2 S̃/∂ξ^2>0$, the corrected entropy relation under the first-order corrections has been modified [ref] and by neglecting the higher order terms, the exact expression of entropy is expressed as [ref] [equation] where $ψ$ represents the logarithmic correction parameter.
Logarithmic corrections of charged hairy black hole in (2+1) dimension · Thermal fluctuations · 0.80
-
Under the steepest decent method, the equation of corrected entropy takes the the following form [ref] [equation] By using the conditions $∂S̃/∂ξ=0$ and $∂^2 S̃/∂ξ^2>0$, the corrected entropy relation under the first-order corrections has been modified [ref] and by neglecting the higher order terms, the exact expression of entropy is expressed as [ref] [equation] where $ψ$ represents the logarithmic correction parameter.
Thermal Fluctuations in a Charged AdS Black Hole · Thermal fluctuations · 0.80
-
Under the steepest decent method, the equation of corrected entropy takes the the following form [ref] [equation] By using the conditions $∂S̃/∂ξ=0$ and $∂^2 S̃/∂ξ^2>0$, the corrected entropy relation under the first-order corrections has been modified [ref] and by neglecting the higher order terms, the exact expression of entropy is expressed as [ref] [equation] where $ψ$ represents the logarithmic correction parameter.
General Logarithmic Corrections to Black Hole Entropy · Thermal fluctuations · 0.80
Uses data or values from 1 paper
-
The spacetime metric for the symmergent black hole is given by [ref] [equation] with the lapse function [equation]
Black Hole Shadow in Symmergent Gravity · Symmergent Black hole · 0.81
Cites as background 14 papers
-
Symmergent black hole is derived from a quadratic-curvature gravity which is a subclass of $f(R)$ gravity theories [ref] .
Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures · Introduction · 0.96
-
Symmergent black hole is derived from a quadratic-curvature gravity which is a subclass of $f(R)$ gravity theories [ref] .
Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity · Introduction · 0.96
-
Symmergent black hole is derived from a quadratic-curvature gravity which is a subclass of $f(R)$ gravity theories [ref] .
Black Hole Shadow in Symmergent Gravity · Introduction · 0.96
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.