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Gravitationally bound ideal gas sphere in Newtonian and in Einsteinian gravity
KTH, School of Engineering Sciences (SCI), Mechanics.
2014 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 35, no 6, 065003- p.Article in journal (Refereed) Published
Abstract [en]

The gravitational hydrostatic equilibrium of an isothermal ideal gas with pressure proportional to density is investigated. The system is known from the literature as the singular isothermal sphere since it has infinite central density and infinite total mass. In spite of these unphysical features the system is of pedagogical interest since it allows exact mathematical treatment both within Newtonian gravity and within general relativity. The difference between these two theories is nicely illustrated.

Place, publisher, year, edition, pages
2014. Vol. 35, no 6, 065003- p.
Keyword [en]
ideal gas, singular isothermal sphere, gravity, hydrostatic equilibrium, general relativity, static spherically symmetric solution, interior Schwarzschild problem
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-157012DOI: 10.1088/0143-0807/35/6/065003ISI: 000344180400007Scopus ID: 2-s2.0-84908458665OAI: oai:DiVA.org:kth-157012DiVA: diva2:768892
Note

QC 20141205

Available from: 2014-12-05 Created: 2014-12-04 Last updated: 2017-12-05Bibliographically approved

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