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Adiabatic radial perturbations of relativistic stars: Analytic solutions to an old problem

2024Review article Open access
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dc.contributor.authorLuz, Paulo
dc.contributor.authorCarloni, Sante
dc.date.accessioned2025-11-11T10:24:55Z
dc.date.available2025-11-11T10:24:55Z
dc.date.issued2024
dc.description.abstractWe present a new system of equations that fully characterizes adiabatic, radial perturbations of perfect fluid stars within the theory of general relativity. The properties of the system are discussed, and, provided that the equilibrium spacetime verifies some general regularity conditions, analytical solutions for the perturbation variables are found. As illustrative examples, the results are applied to study perturbations of selected classical exact spacetimes, and the first oscillation eigenfrequencies are computed. Exploiting the new formalism, we derive an upper bound for the maximum compactness of stable, perfect fluid stars, which is equation-of-state agnostic and significantly smaller than the Buchdahl bound.eng
dc.identifier.citationLuz, P., & Carloni, S. (2024). Adiabatic radial perturbations of relativistic stars: Analytic solutions to an old problem. Physical Review D, 110(8), 084054.
dc.identifier.doi10.1103/PhysRevD.110.084054
dc.identifier.urihttp://hdl.handle.net/10400.26/59606
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAPS, Physical Review Journals
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFluids & Classical fields in curved spacetime
dc.subjectGeneral relativity
dc.subjectGeneral relativity equations & solutions
dc.subjectGravitation
dc.subjectStars
dc.titleAdiabatic radial perturbations of relativistic stars: Analytic solutions to an old problemeng
dc.typereview article
dspace.entity.typePublication
oaire.citation.issue8
oaire.citation.startPage084054
oaire.citation.titlePhysical Review D
oaire.citation.volume110
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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