Bounds on 2m/R for static spherical objects

Simple item page
dc.contributor.authorGuven, Jemal
dc.contributor.authorÓ Murchadha, Niall
dc.date.accessioned2017-08-29T09:14:25Z
dc.date.available2017-08-29T09:14:25Z
dc.date.issued1999
dc.description.abstractIt is well known that a spherically symmetric constant density static star, modeled as a perfect fluid, possesses a bound on its mass m by its radial size R given by 2m/R less than or equal to 8/9 and that this bound continues to hold when the energy density decreases monotonically. The existence of such a bound is intriguing because it occurs well before the appearance of an apparent horizon at m = R/2. However, the assumptions made are extremely restrictive. They do not hold in a simple soap bubble and they certainly do not approximate any known topologically stable field configuration. In addition, Such configurations will not generally be compact. We show that the 8/9 bound is robust by relaxing these assumptions. If the density is monotonically decreasing and the tangential stress is less than or equal to the radial stress we show that the 8/9 bound continues to hold through the entire bulk if m is replaced by the quasi-local mass. If the tangential stress is allowed to exceed the radial stress and/or the density is not monotonic we cannot recover the 8/9 bound. However, we can show that 2m/R remains strictly bounded away from unity by constructing an explicit upper bound which depends only on the ratio of the stresses and the variation of the density. (S0556-2821(99)09818-5).en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid84020
dc.identifier.citationGuven, J. and Ó Murchadha, N. (1999) 'Bounds on 2m/R for static spherical objects', Physical Review D, 60(8), 084020 (8pp). doi: 10.1103/PhysRevD.60.084020en
dc.identifier.doi10.1103/PhysRevD.60.084020
dc.identifier.issn0556-2821
dc.identifier.issued8
dc.identifier.journaltitlePhysical Review Den
dc.identifier.urihttps://hdl.handle.net/10468/4580
dc.identifier.volume60
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.60.084020
dc.rights© 1999, American Physical Societyen
dc.subjectClassical general-relativityen
dc.subjectStellar modelsen
dc.subjectConfiguration-spaceen
dc.subjectSymmetryen
dc.subjectConstraintsen
dc.titleBounds on 2m/R for static spherical objectsen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
3611.pdf
Size:
82.22 KB
Format:
Adobe Portable Document Format
Description:
Published Version
Download
Collections
Physics - Journal Articles