3 papers
math.DG2024
Global existence and geometry of constant mass aspect function foliation in perturbed Schwarzschild spacetime
Pengyu Le
The constant mass function foliation has been shown useful for studying the null Penrose inequality on a null hypersurface, because of the monotonicity formula of Hawking mass alon…
math.DG2023
Lorentz polarisation and isoperimetric inequality in Minkowski spacetime
Pengyu Le
In this paper, we prove an isoperimetric inequality for the domain of dependence of a finite lightcone in the Minkowski spacetime of dimension greater than or equal to 3. The inequ…
gr-qc2021
Note on strong cosmic censorship for spherically symmetric Einstein-dust model
Pengyu Le
In this note, we derive an ordinary differential equation for outgoing light rays in the spacetime of a spherically symmetric contracting dust cloud. The violation of strong cosmic…