Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-01-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, 9 figures
Scientific paper
It is shown that for small, spherically symmetric perturbations of asymptotically flat two-ended Reissner-Nordstr\"om data for the Einstein-Maxwell-real scalar field system, the boundary of the dynamic spacetime which evolves is globally represented by a bifurcate null hypersurface across which the metric extends continuously. Under additional assumptions, it is shown that the Hawking mass blows up identically along this bifurcate null hypersurface, and thus the metric cannot be extended twice differentiably, in fact, cannot be extended in a weaker sense characterized at the level of the Christoffel symbols. The proof combines estimates obtained in previous work with an elementary Cauchy stability argument. There are no restrictions on the size of the support of the scalar field, and the result applies to both the future and past boundary of spacetime. In particular, it follows that for an open set in the moduli space of solutions around Reissner-Nordstr\"om, there is no spacelike component of either the future or the past singularity.
No associations
LandOfFree
Black holes without spacelike singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Black holes without spacelike singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Black holes without spacelike singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-643586