Gravitational collapse with rotating thin shells and cosmic censorship

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Delsate, Térence^1 ; Rocha, Jorge V.^2 ; Santarelli, Raphael^3

Theoretical and Mathematical Physics Department, University of Mons, UMONS, 20, Place du Parc, Mons

B-7000, Belgium^1

Centro Multidisciplinar de Astrofísica-CENTRA, Instituto Superior Técnico-1ST, Universidade de Lisboa-UL, Avenida Rovisco Pais 1, Lisboa

1049-001, Portugal^2

Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, São Paulo

CEP 13560-970, Brazil^3

关键词: Analytic tools;    Black holes;    Cosmological constants;    Dynamical process;    Exact solution;    Gravitational collapse;    Higher dimensions;    Stationary solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012022/pdf
DOI  :  10.1088/1742-6596/600/1/012022

来源: IOP

【 摘 要 】

The study of gravitational collapse is a subject of great importance, both from an astrophysical and a holographic point of view. In this respect, exact solutions can be very helpful but known solutions are very scarce, especially when considering dynamical processes with rotation. We describe a setup in which gravitational collapse of rotating matter shells can be addressed with analytic tools, at the expense of going to higher dimensions and considering equal angular momenta spacetimes. The framework for an exact treatment of the dynamics, relying on a thin shell approximation, is developed. Our analysis allows the inclusion of a non-vanishing cosmological constant. Finally, we discuss applications of this machinery to the construction of stationary solutions describing matter around rotating black holes and to the cosmic censorship conjecture.