D 2005

Games with polytropes and adiabates

HLEDÍK, Stanislav; Kristina MRÁZOVÁ and Zdeněk STUCHLÍK

Basic information

Original name

Games with polytropes and adiabates

Authors

HLEDÍK, Stanislav; Kristina MRÁZOVÁ and Zdeněk STUCHLÍK

Edition

Opava, Proceedings of RAGtime 6/7: Workshops on black holes and neutron stars, p. 109-117, 8 pp. 2005

Publisher

Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

10308 Astronomy

Country of publisher

Czech Republic

Confidentiality degree

is not subject to a state or trade secret

Organization unit

Faculty of Philosophy and Science in Opava

ISBN

80-7248-334-X

Keywords in English

polytropes, adiabates, general relativity, non-relativistic, ultrarelativistic

Tags

Tags

International impact

Links

MSM4781305903, plan (intention).
Changed: 8/12/2020 13:36, Mgr. Pavlína Jalůvková

Abstract

In the original language

Equilibrium configurations that are solutions of spherically symmetric hydrostatic equations of General Relativity for an ideal fluid obeying a polytropic (or adiabatic) equation of state are given in the framework of general relativity. The equilibriumconfigurations are given in terms of the polytropic index $n$ and the so called relativistic parameter $sigma$ (for polytropes) or $alpha$ (for adiabates).First, simple models of polytropic and adiabatic spheres for non-relativistic and ultra-relativistic case of the equation of state are introduced. Then, the comparison of polytropic and adiabatic spheres is given in some special characteristic cases and the influence of the relativistic parameter on the structure of the spheres and the gravitationaland binding energy.