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Thermodynamics of Rotating Lifshitz Dilaton Black Brane in Quartic Quasitopological gravity
High Energy Physics - Phenomenology · Submitted 7 Aug 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We also study the thermal stability of the rotating quartic quasitopological Lifshitz dilaton black brane and it is not thermally stable.
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The abstract, sentence by sentence
In this paper, we obtain the rotating Lifshitz dilaton black brane solutions in the presence of the quartic quasitopological gravity and then probe the related thermodynamics. At first, we obtain the field equations form which a total constant along the radial coordinate $r$ is deduced. Since we cannot solve the solutions exactly, so we investigate their asymptotic behaviors at the horizon and at the infinity. We attain the conserved and thermodynamic quantities such as temperature, angular velocity, entropy, the energy and the angular momentum densities of the rotating quartic quasitopological Lifshitz dilaton black brane. By evaluating the total constant at the horizon and the infinity, we can make a relation between the thermodynamic quantities and so get to a Smarr-type formula. We demonstrate that the thermodynamic quantities of this rotating black brane obey the first law of the thermodynamics. We also study the thermal stability of the rotating quartic quasitopological Lifshitz dilaton black brane and it is not thermally stable.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we obtain the rotating Lifshitz dilaton black brane solutions in the presence of the quartic quasitopological gravity and then probe the related thermodynamics. | contribution 1.00 | 0.96 | 0.12 | asserted 1.00 |
| s1 | At first, we obtain the field equations form which a total constant along the radial coordinate $r$ is deduced. | method 0.95 | 0.96 | 0.03 | asserted 1.00 |
| s2 | Since we cannot solve the solutions exactly, so we investigate their asymptotic behaviors at the horizon and at the infinity. | method 0.49 | 0.90 | 0.02 | asserted 1.00 |
| s3 | We attain the conserved and thermodynamic quantities such as temperature, angular velocity, entropy, the energy and the angular momentum densities of the rotating quartic quasitopological Lifshitz dilaton black brane. | result 0.68 | 0.96 | 0.17 | asserted 1.00 |
| s4 | By evaluating the total constant at the horizon and the infinity, we can make a relation between the thermodynamic quantities and so get to a Smarr-type formula. | result 0.59 | 0.95 | 0.13 | hedged possibility 0.56 |
| s5 | We demonstrate that the thermodynamic quantities of this rotating black brane obey the first law of the thermodynamics. | result 0.98 | 0.95 | 0.23 | asserted 1.00 |
| s6 | We also study the thermal stability of the rotating quartic quasitopological Lifshitz dilaton black brane and it is not thermally stable. | result 0.99 | 0.96 | 0.30 | asserted 1.00 |
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Original abstract
In this paper, we obtain the rotating Lifshitz dilaton black brane solutions in the presence of the quartic quasitopological gravity and then probe the related thermodynamics. At first, we obtain the field equations form which a total constant along the radial coordinate $r$ is deduced. Since we cannot solve the solutions exactly, so we investigate their asymptotic behaviors at the horizon and at the infinity. We attain the conserved and thermodynamic quantities such as temperature, angular velocity, entropy, the energy and the angular momentum densities of the rotating quartic quasitopological Lifshitz dilaton black brane. By evaluating the total constant at the horizon and the infinity, we can make a relation between the thermodynamic quantities and so get to a Smarr-type formula. We demonstrate that the thermodynamic quantities of this rotating black brane obey the first law of the thermodynamics. We also study the thermal stability of the rotating quartic quasitopological Lifshitz dilaton black brane and it is not thermally stable.
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What it cites · 13 sentences without a confident label
Uses the method or tool of 2 papers
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The killing vector of a rotating black brane is defined by [equation] where $Ω$ demonstrates the angular velocity of the Killing horizon by [equation] We can also calculate the entropy of the rotating quartic quasitopological Lifshitz dilaton black brane with a flat horizon as the following [ref] [equation] The temperature of the mentioned rotating black brane at the event horizon is also attained by [equation] where we have used of the near horizon expansions [ref] in order to gain the last term.
Black Hole Entropy is Noether Charge · Thermodynamics · 0.95
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We can have a finite action by combining a reference term in the spacetime that has been introduced through the substraction method of Brown and York [ref] .
Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes · Thermodynamics · 0.96
Cites as support 1 paper
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In the quasitopological gravity, the causality is preserved since the constraints coming from the requiring positive energy fluxes condition are in accordance with the causality ones [ref] .
Holographic studies of quasi-topological gravity · Introduction · 0.96
Cites as background 41 papers
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Quasitopological gravity is one the most important modified gravities that has been studied in Refs. [ref] .
Lifshitz Quartic Quasitopological Black Holes · Introduction · 0.94
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Quasitopological gravity is one the most important modified gravities that has been studied in Refs. [ref] .
Black Holes in (Quartic) Quasitopological Gravity · Introduction · 0.94
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Quasitopological gravity is one the most important modified gravities that has been studied in Refs. [ref] .
Quasi-Topological Lifshitz Black Holes · Introduction · 0.94
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