TY: JOUR
T1 - Gravitational radiation and the evolution of gravitational collapse in cylindrical symmetry
A1 - García-Parrado Gómez-Lobo, Alfonso
A1 - Mena, Filipe C.
N2 - 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.
UR - http://repositorium.sdum.uminho.pt/handle/1822/59047
Y1 - 2019
PB - Elsevier