Radially homothetic spacetime is of Petrov-type D
Sanjay M Wagh, Keshlan S Govinder
Abstract
It is well-known mtbh that all black hole solutions of General Relativity are of Petrov-type D. It may thus be expected that the spacetime of physically realizable spherical gravitational collapse is also of Petrov-type D. We show that a radially homothetic spacetime, ie, a spherically symmetric spacetime with hyper-surface orthogonal, radial, homothetic Killing vector, is of Petrov-type D. As has been argued in prl1, it is a spacetime of physically realizable spherical collapse.
Create a lesson
Related papers
Spin-network states for the Bianchi I and IX cosmological models from quantum constrained symmetries
Matteo Bruno, Giovanni Montani, Edoardo Maria Panno
Entropy, area, and the choice of regulator during gravitational collapse
Jana N. Guenther, Christian Hoelbling, Sophie Mutzel et al.
On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
Yu-Sen Zhou, Wen-Tao Fu, Li-Ming Cao et al.
The return of Palatini inflationary attractors: Universal mapping of observables
Christian Dioguardi, Francesco Gianesello, Antonio Racioppi
Gravity from Invariant Weyl-Integrable space-time (IWIST)
José Edgar Madriz Aguilar, A. Bernal, M. Montes et al.
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
Libo Xie, Liang-Bi Wu, Yu-Sen Zhou et al.