Change search
ReferencesLink to record
Permanent link

Direct link
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
URN: urn:nbn:se:kth:diva-157012DOI: 10.1088/0143-0807/35/6/065003ISI: 000344180400007ScopusID: 2-s2.0-84908458665OAI: diva2:768892

QC 20141205

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

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Essén, Hanno
By organisation
In the same journal
European journal of physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 23 hits
ReferencesLink to record
Permanent link

Direct link