---
title: "SHEAR-FREE AND HOMOLOGY CONDITIONS FOR SELF--GRAVITATING DISSIPATIVE FLUIDS • CBPF Index"
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**Physics Note****Published**

# **SHEAR-FREE AND HOMOLOGY CONDITIONS FOR SELF--GRAVITATING DISSIPATIVE FLUIDS**

**L. Herrera; N. O. Santos**

2003

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbaf6d/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=SHEAR-FREE%20AND%20HOMOLOGY%20CONDITIONS%20FOR%20SELF--GRAVITATING%20DISSIPATIVE%20FLUIDS)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>L. Herrera; N. O. Santos</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>2003</dd>

<dt>Description</dt>
<dd>The shear free condition is studied for dissipative relativistic self--gravitating fluids in the quasi--static approximation. It is shown that, in the Newtonian limit, such condition implies the linear homology law for the velocity of a fluid element,only if homology conditions are further impossed on the temperature and the emission rate.It is also shown that the shear free plus the homogeneous expansion rate conditions are equivalent (in the Newtonian limit) to the homology conditions. Deviations from homology and their prospective applications to some astrophysical scenarios are discussed, and a model is worked out.</dd>

<dt>Year</dt>
<dd>2003</dd>

<dt>Number</dt>
<dd>CBPF-NF-004/03</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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```

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