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Static circularly symmetric perfect fluid solutions with an exterior BTZ metric

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Norman Cruz, Marco Olivares, Jose Villanueva

General Relativity and Quantum Cosmology · Submitted 25 Jun 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We also obtain an exact solution of the Einstein equations, with the corresponding equation of state $p=p(\rho)$, which is regular at the origin.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0406105 (version 1)
Pith IDPS7XHDHM, Pith's permanent record of this paper and its review
CitationJose Villanueva, Marco Olivares, Norman Cruz. "Static circularly symmetric perfect fluid solutions with an exterior BTZ metric." arXiv:gr-qc/0406105 (2004). https://pith.science/paper/PS7XHDHM
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,533 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this work we study static perfect fluid stars in 2+1 dimensions with an exterior BTZ spacetime. We found the general expression for the metric coefficients as a function of the density and pressure of the fluid. We found the conditions to have regularity at the origin throughout the analysis of a set of linearly independent invariants. We also obtain an exact solution of the Einstein equations, with the corresponding equation of state $p=p(\rho)$, which is regular at the origin.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this work we study static perfect fluid stars in 2+1 dimensions with an exterior BTZ spacetime. contribution 0.86 0.84 0.06 asserted 0.88
s1 We found the general expression for the metric coefficients as a function of the density and pressure of the fluid. result 0.96 0.96 0.17 asserted 1.00
s2 We found the conditions to have regularity at the origin throughout the analysis of a set of linearly independent invariants. result 0.79 0.95 0.12 asserted 1.00
s3 We also obtain an exact solution of the Einstein equations, with the corresponding equation of state $p=p(\rho)$, which is regular at the origin. result 0.95 0.97 0.42 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this work we study static perfect fluid stars in 2+1 dimensions with an exterior BTZ spacetime. We found the general expression for the metric coefficients as a function of the density and pressure of the fluid. We found the conditions to have regularity at the origin throughout the analysis of a set of linearly independent invariants. We also obtain an exact solution of the Einstein equations, with the corresponding equation of state $p=p(\rho)$, which is regular at the origin.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites it as background 1 paper
  • For example, the construction of geodesic equations of the uncharged BTZ BHs [ref] , the quasi-normal modes [ref] , the scattering process of test particles [ref] , the hydrostatic equilibrium conditions for finite distributions [ref] , and solutions for fluid distributions matching the exterior BTZ spacetime [ref] .

    New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity · Introduction · 0.95

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