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Anisotropic static solutions in modelling highly compact bodies

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M. Chaisi, S. D. Maharaj

General Relativity and Quantum Cosmology · Submitted 8 Feb 2006

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

The authors' main claim Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0602030 (version 1)
Pith IDHU7H6JIN, Pith's permanent record of this paper and its review
CitationM. Chaisi, S. D. Maharaj. "Anisotropic static solutions in modelling highly compact bodies." arXiv:gr-qc/0602030 (2006). https://pith.science/paper/HU7H6JIN
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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

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,740 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.72 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. Two classes of solutions are possible. The first class contains the limiting case $\mu\propto r^{-2}$ for the energy density which arises in many astrophysical applications. In the second class the singularity at the center of the star is not present in the energy density. The models presented in this paper allow for increasing and decreasing profiles in the behavior of the energy density.

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 Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. contribution 0.74 0.93 0.42 asserted 1.00
s1 This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. contribution 0.92 0.78 0.21 asserted 1.00
s2 Two classes of solutions are possible. result 0.97 0.73 0.09 asserted 0.60
s3 The first class contains the limiting case $\mu\propto r^{-2}$ for the energy density which arises in many astrophysical applications. result 0.97 0.44 0.09 asserted 0.98
s4 In the second class the singularity at the center of the star is not present in the energy density. result 0.99 0.79 0.11 asserted 1.00
s5 The models presented in this paper allow for increasing and decreasing profiles in the behavior of the energy density. result 0.91 0.85 0.20 asserted 0.83

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

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • 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

Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. Two classes of solutions are possible. The first class contains the limiting case $\mu\propto r^{-2}$ for the energy density which arises in many astrophysical applications. In the second class the singularity at the center of the star is not present in the energy density. The models presented in this paper allow for increasing and decreasing profiles in the behavior of the energy density.

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References
How the literature uses it

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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