HLEDÍK, Stanislav, Kristina MRÁZOVÁ and Zdeněk STUCHLÍK. Games with polytropes and adiabates. In Proceedings of RAGtime 6/7: Workshops on black holes and neutron stars. Opava: Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky, 2005, p. 109-117, 8 pp. ISBN 80-7248-334-X.
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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
Original 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 , MSM4781305903, RAGtime, sbornik
Tags International impact
Links MSM4781305903, plan (intention).
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 8/12/2020 13:36.
Abstract
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.
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