Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/59047

TitleGravitational radiation and the evolution of gravitational collapse in cylindrical symmetry
Author(s)García-Parrado Gómez-Lobo, Alfonso
Mena, Filipe C.
KeywordsQuasi-local energy
Gravitational waves
Sparling form
Issue dateJun-2019
PublisherElsevier
JournalDifferential Geometry and its Applications
Abstract(s)Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions in cylindrically symmetric models of gravitational collapse to singularities. The models result from the matching of collapsing dust fluids interiors with gravitational wave exteriors, given by the Einstein-Rosen type solutions. For a given choice of a frame adapted to the symmetry of the matching hypersurface, we are able to compute the total gravitational energy radiated during the collapse and state whether the gravitational radiation is incoming or outgoing, in each case. This also enables us to distinguish whether a gravitational collapse is being enhanced by the gravitational radiation.
TypeArticle
URIhttps://hdl.handle.net/1822/59047
DOI10.1016/j.difgeo.2019.02.003
ISSN0926-2245
e-ISSN1872-6984
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S092622451830069X
Peer-Reviewedyes
AccessRestricted access (Author)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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