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Gauge invariant perturbations of static spatially compact LRS II spacetimes

2024-11Review article Restricted access
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dc.contributor.authorLuz, Paulo
dc.contributor.authorCarloni, Sante
dc.date.accessioned2025-11-10T17:23:29Z
dc.date.available2025-11-10T17:23:29Z
dc.date.issued2024-11
dc.description.abstractWe present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by construction covariant and identification gauge invariant and encompass the geometry and the thermodynamics of the fluid sources. The new equations are then applied to the study of isotropic, adiabatic perturbations. We discuss how the choice of frame in which perturbations are described can significantly simplify the mathematical analysis of the problem and show that it is possible to change frames directly from the linear level equations. We find explicitly that the case of isotropic, adiabatic perturbations can be reduced to a singular Sturm–Liouville eigenvalue problem, and lower bounds for the values of the eigenfrequencies can be derived. These results lay the theoretical groundwork to analytically describe linear, isotropic, and adiabatic perturbations of static, spherically symmetric spacetimeseng
dc.identifier.citationLuz, P., & Carloni, S. (2024). Gauge invariant perturbations of static spatially compact LRS II spacetimes. Classical and Quantum Gravity, 41(23), 235012.
dc.identifier.doi10.1088/1361-6382/ad8a14
dc.identifier.urihttp://hdl.handle.net/10400.26/59596
dc.language.isoeng
dc.peerreviewedyes
dc.publisherIOPSciense
dc.relation.hasversionhttps://iopscience.iop.org/article/10.1088/1361-6382/ad8a14
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleGauge invariant perturbations of static spatially compact LRS II spacetimeseng
dc.typereview article
dspace.entity.typePublication
oaire.citation.issue23
oaire.citation.startPage235012
oaire.citation.titleClassical and Quantum Gravity
oaire.citation.volume41
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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