Diego Soligon | Searcharxiv

arXiv2022

Maximum size of black holes in our accelerating Universe

In accordance with current models of the accelerating Universe as a spacetime with a positive cosmological constant, new results about a cosmological upper bound for the area of stable marginally outer trapped surfaces are found taking into account angular momentum, gravitational waves and matter. Compared to previous results which take into account only some of the aforementioned variables, the bound is found to be tighter, giving a concrete limit to the size of black holes especially relevant in the early Universe.

gr-qc↗

arXiv2020

The positive mass theorem in Kaluza-Klein picture

We reconsider Schoen and Yau's proof of the positive mass theorem from the extra dimensional point of view, and we introduce a modified argument to prove the theorem in the Kaluza-Klein picture. We consider in this study an alternative condition to Jang's equation, which makes the argument more physically intuitive.

gr-qc↗