The space of marginally trapped surfaces in perturbed Schwarzschild spacetimes
Year: 2020
Type: preprint
Abstract: Marginally trapped surfaces are an important concept in Lorentzian geometry. They play a similar role like minimal surfaces do in the Riemannian setting. Penrose used closed trapped surfaces to prove his famous incompleteness theorem in general relativity; stating that under physical assumptions the existence of such a surface implies future geodesic incompleteness of the spacetime. In the Schwarzschild black hole spacetime, the event horizon is foliated by marginally trapped surfaces. In this paper, we study the moduli space of marginally trapped surfaces in a perturbed Schwarzschild spacetime. More generally, we develop a method to study the geometry of spacelike surfaces and apply it to characterise the moduli space of marginally trapped surfaces in such a spacetime.
Source: arXiv (Cornell University)
Author: Pengyu Le
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3041371677