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Functions and Relations for an Evolving Star with Spherical Symmetry
General Physics · Submitted 2 Jan 2008
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim So they may be helpful for students to study general relativity and for researchers to do further discussion.
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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.
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The abstract, sentence by sentence
In this paper, we drive and simplify some important equations and relations for an evolving star with spherical symmetry, and then give some simple analysis for their properties and implications. In the light-cone coordinate system, these equations and relations have a normal and neat form which is much accessible than the usual Einstein field equation. So they may be helpful for students to study general relativity and for researchers to do further discussion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we drive and simplify some important equations and relations for an evolving star with spherical symmetry, and then give some simple analysis for their properties and implications. | contribution 1.00 | 0.95 | 0.26 | asserted 0.99 |
| s1 | In the light-cone coordinate system, these equations and relations have a normal and neat form which is much accessible than the usual Einstein field equation. | result 0.36 | 0.76 | 0.13 | asserted 1.00 |
| s2 | So they may be helpful for students to study general relativity and for researchers to do further discussion. | interpretation 0.71 | 0.13 | 0.23 | hedged possibility 1.00 |
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The paper
Original abstract
In this paper, we drive and simplify some important equations and relations for an evolving star with spherical symmetry, and then give some simple analysis for their properties and implications. In the light-cone coordinate system, these equations and relations have a normal and neat form which is much accessible than the usual Einstein field equation. So they may be helpful for students to study general relativity and for researchers to do further discussion.
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How the literature uses it
3 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Cites it as support 1 paper
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In such coordinate system, the metric takes a wonderful canonical form ([ref]), and the Einstein's field equation becomes quite simple [ref] .
Light-Cone Coordinate System in General Relativity · conclusion · 0.99
What it cites · 14 sentences without a confident label
Uses the method or tool of 1 paper
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Making a transformation similar to that in [ref] , we can get the dimensionless form of equation system ([ref])-([ref]) and ([ref])-([ref]).
Structure of the Star with Ideal Gases · Dynamical Equations for a Collapsing Star · 0.98
Cites as support 2 papers
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On the other hand, as calculated below, $ρ→∞$ occurs before the metric itself becomes singular [ref] , so the space-time can be still treated as a `place' when the mass-energy density approaches infinity [ref] .
Structure of the Star with Ideal Gases · Introduction · 0.96
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On the other hand, as calculated below, $ρ→∞$ occurs before the metric itself becomes singular [ref] , so the space-time can be still treated as a `place' when the mass-energy density approaches infinity [ref] .
The nature of spacetime singularities · Introduction · 0.96
Cites as background 5 papers
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For the static spherically symmetrical space-time generated by perfect fluid source [equation] we have a number of exact solutions [ref] and generating method [ref] .
All static spherically symmetric perfect fluid solutions of Einstein's Equations · Introduction · 0.87
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For the static spherically symmetrical space-time generated by perfect fluid source [equation] we have a number of exact solutions [ref] and generating method [ref] .
Algorithmic construction of static perfect fluid spheres · Introduction · 0.87
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For the static spherically symmetrical space-time generated by perfect fluid source [equation] we have a number of exact solutions [ref] and generating method [ref] .
Generating perfect fluid spheres in general relativity · Introduction · 0.87
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