5-dimensional space-periodic solutions of the static vacuum Einstein equations
A bstract An affirmative answer is given to a conjecture of Myers concerning the existence of
5-dimensional regular static vacuum solutions that balance an infinite number of black …
5-dimensional regular static vacuum solutions that balance an infinite number of black …
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type
We present several new space-periodic solutions of the static vacuum Einstein equations in
higher dimensions, both with and without black holes, having Kasner asymptotics. These …
higher dimensions, both with and without black holes, having Kasner asymptotics. These …
[HTML][HTML] New asymptotically flat static vacuum metrics with near Euclidean boundary data
Z An, LH Huang - Journal of Mathematical Physics, 2022 - pubs.aip.org
In our prior work toward Bartnik's static vacuum extension conjecture for near Euclidean
boundary data, we establish a sufficient condition, called static regular, and confirm that …
boundary data, we establish a sufficient condition, called static regular, and confirm that …
Static Black Hole uniqueness for nonpositive masses
S Borghini - Nonlinear Analysis, 2022 - Elsevier
In a renowned paper, Lee and Neves proved a Penrose inequality for spacetimes with
negative cosmological constant and nonpositive mass aspect. As an application, they were …
negative cosmological constant and nonpositive mass aspect. As an application, they were …
On the existence of charged electrostatic black holes in arbitrary topology
M Reiris - Annales Henri Poincaré, 2025 - Springer
Abstract The general classification of 3+ 1-static black hole solutions of the Einstein
equations, with or without matter, is central in general relativity and important in geometry. In …
equations, with or without matter, is central in general relativity and important in geometry. In …
On the hypotheses of Penrose's singularity theorem under disformal transformations
E Bittencourt, GG Carvalho, IP Lobo… - The European Physical …, 2020 - Springer
We analyze how the hypotheses of Penrose's singularity theorem (1965) are modified by the
action of disformal transformations (defined in terms of light-like vectors) upon a given space …
action of disformal transformations (defined in terms of light-like vectors) upon a given space …