{"arxiv_id":"2408.14516","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":31,"sentences":50,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":6,"sentences":8,"quotes":[{"arxiv_id":"1006.3510","title":"Thermodynamics of Lovelock-Lifshitz Black Branes","url":"/paper/1006.3510","section":"Thermodynamics and conserved quantities","sentence":"However, we can specify a stress tensor complex for the asymptotically Lifshitz spacetimes [ref] that consists of energy density $ℰ$, energy flux $ℰ_i$, momentum density $𝒫_i$, and spatial stress tensor $𝒫_ij$ by the bellow formula [equation] and [equation] The above conserved quantities obey the bellow conservation equations [ref] [equation] Using Eqs. [ref]-[ref], we calculate the energy density of the quasitopological Lifshitz dilaton black brane as this [equation] If we replace the large $r$ expansions [ref] in Eq. [ref], so we can attain the mass of this black brane as the following [equation] where $C_tot$ is the total constant at the infinity that has been defined in Eq. [ref].","intent_p":0.89,"contests_p":null},{"arxiv_id":"0907.1846","title":"Holographic stress tensor for non-relativistic theories","url":"/paper/0907.1846","section":"Thermodynamics and conserved quantities","sentence":"However, we can specify a stress tensor complex for the asymptotically Lifshitz spacetimes [ref] that consists of energy density $ℰ$, energy flux $ℰ_i$, momentum density $𝒫_i$, and spatial stress tensor $𝒫_ij$ by the bellow formula [equation] and [equation] The above conserved quantities obey the bellow conservation equations [ref] [equation] Using Eqs. [ref]-[ref], we calculate the energy density of the quasitopological Lifshitz dilaton black brane as this [equation] If we replace the large $r$ expansions [ref] in Eq. [ref], so we can attain the mass of this black brane as the following [equation] where $C_tot$ is the total constant at the infinity that has been defined in Eq. [ref].","intent_p":0.89,"contests_p":null},{"arxiv_id":"1107.3354","title":"Thermodynamics of Rotating Lovelock-Lifshitz Black Branes","url":"/paper/1107.3354","section":"Thermodynamics and conserved quantities","sentence":"However, we can specify a stress tensor complex for the asymptotically Lifshitz spacetimes [ref] that consists of energy density $ℰ$, energy flux $ℰ_i$, momentum density $𝒫_i$, and spatial stress tensor $𝒫_ij$ by the bellow formula [equation] and [equation] The above conserved quantities obey the bellow conservation equations [ref] [equation] Using Eqs. [ref]-[ref], we calculate the energy density of the quasitopological Lifshitz dilaton black brane as this [equation] If we replace the large $r$ expansions [ref] in Eq. [ref], so we can attain the mass of this black brane as the following [equation] where $C_tot$ is the total constant at the infinity that has been defined in Eq. [ref].","intent_p":0.89,"contests_p":null},{"arxiv_id":"1108.4235","title":"Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes","url":"/paper/1108.4235","section":"Thermodynamics and conserved quantities","sentence":"However, we can specify a stress tensor complex for the asymptotically Lifshitz spacetimes [ref] that consists of energy density $ℰ$, energy flux $ℰ_i$, momentum density $𝒫_i$, and spatial stress tensor $𝒫_ij$ by the bellow formula [equation] and [equation] The above conserved quantities obey the bellow conservation equations [ref] [equation] Using Eqs. [ref]-[ref], we calculate the energy density of the quasitopological Lifshitz dilaton black brane as this [equation] If we replace the large $r$ expansions [ref] in Eq. [ref], so we can attain the mass of this black brane as the following [equation] where $C_tot$ is the total constant at the infinity that has been defined in Eq. [ref].","intent_p":0.89,"contests_p":null},{"arxiv_id":"1801.05692","title":"Reissner-Nordstrom Black Holes in Quartic Quasi-Topological Gravity Theory","url":"/paper/1801.05692","section":"Thermodynamics and conserved quantities","sentence":"In this method, if we use $t→iτ$, we get to the Euclidean section of the metric [ref] which its regularity at $r = r_+$ involves us to identify $τ→τ+β_+$, where $β_+$ is the inverse of Hawking temperature [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1809.05198","title":"Third order quasi-topological black hole with power-law Maxwell nonlinear source","url":"/paper/1809.05198","section":"constants along the radial coordinate","sentence":"For $z=1$ (where $f(r)=g(r)$) and in the absence of the dilaton field, $Φ(r)=0$, the total constant reduces to [equation] where it is proportional to the mass of the quasitopological black brane with $s=1$ in Ref. [ref] .","intent_p":0.86,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":11,"sentences":11,"quotes":[{"arxiv_id":"1506.07068","title":"Thermodynamics of Gauss-Bonnet-Dilaton Lifshitz Black Branes","url":"/paper/1506.07068","section":"Introduction","sentence":"Recently, a study of the Gauss-Bonnet Lifshitz dilaton black brane has been done in Ref. [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"1101.3476","title":"Quasi-Topological Lifshitz Black Holes","url":"/paper/1101.3476","section":"Introduction","sentence":"Quasitopological gravity black hole solutions have been investigated in Refs. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1004.2055","title":"Holographic studies of quasi-topological gravity","url":"/paper/1004.2055","section":"Introduction","sentence":"Quasitopological gravity black hole solutions have been investigated in Refs. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1106.0784","title":"Holographic p-wave Superconductors in Quasi-topological Gravity","url":"/paper/1106.0784","section":"Introduction","sentence":"Quasitopological gravity black hole solutions have been investigated in Refs. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1109.4708","title":"Black Holes in (Quartic) Quasitopological Gravity","url":"/paper/1109.4708","section":"Introduction","sentence":"Quasitopological gravity black hole solutions have been investigated in Refs. [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":30},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2408.14516"}}