Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension
Otakar Svitek
TL;DR
This paper extends the Penrose-Tod equation to higher dimensions, proving the existence of horizons in Robinson-Trautman spacetimes with a cosmological constant and radiation, generalizing known four-dimensional results.
Contribution
It provides the first proof of horizon solutions in higher-dimensional Robinson-Trautman spacetimes with a cosmological constant and radiation.
Findings
Existence of solutions in D>4 dimensions is established.
The higher-dimensional Penrose-Tod equation is derived.
Results for D=4 are summarized.
Abstract
We derive the higher dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimensions are summarized. Existence of its solutions in D>4 dimensions is proved using tools for nonlinear elliptic partial differential equations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.