2018/11/26 by García-Parrado, Alfonso, Filipe C. Mena, Mena, Filipe C.
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.1811.10303
openalex publication_date 2018/11/26 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
Using the Sparling form and a geometric construction adapted to spacetimes\nwith a 2-dimensional isometry group, we analyse a quasi-local measure of\ngravitational energy. We then study the gravitational radiation through\nspacetime junctions in cylindrically symmetric models of gravitational collapse\nto singularities. The models result from the matching of collapsing dust fluids\ninteriors with gravitational wave exteriors, given by the Einstein-Rosen type\nsolutions. For a given choice of a frame adapted to the symmetry of the\nmatching hypersurface, we are able to compute the total gravitational energy\nradiated during the collapse and state whether the gravitational radiation is\nincoming or outgoing, in each case. This also enables us to distinguish whether\na gravitational collapse is being enhanced by the gravitational radiation.\n