9 citations · 15 across the 8 of their papers we have counts for
8 papers
Critical domains for certain Dirichlet integrals in weighted manifolds
Levi Lopes de Lima
We start by revisiting the derivation of the variational formulae for the functional assigning to a bounded regular domain in a Riemannian manifold its first Dirichlet eigenvalue a…
A harmonic level set proof of a positive mass theorem
Rondinelle Batista, Levi Lopes de Lima
We provide a harmonic level set proof of the positive mass theorem for asymptotically flat -manifolds with a non-compact boundary first established by Almaraz-Barbosa-de Lima.
Extrinsic black hole uniqueness in pure Lovelock gravity
Levi Lopes de Lima, Frederico Girão, José Natário
We define a notion of extrinsic black hole in pure Lovelock gravity of degree which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as…
Conserved quantities in General Relativity: the case of initial data sets with a noncompact boundary
Levi Lopes de Lima
It is well-known that considerations of symmetry lead to the definition of a host of conserved quantities (energy, linear momentum, center of mass, etc.) for an asymptotically flat…
Spacetime positive mass theorems for initial data sets with noncompact boundary
Sergio Almaraz, Levi Lopes de Lima, Luciano Mari
In this paper, we define an energy-momentum vector at the spatial infinity of either asymptotically flat or asymptotically hyperbolic initial data sets carrying a non-compact bound…
The mass in terms of Einstein and Newton
Levi Lopes de Lima, Frederico Girão, Amilcar Montalbán
It is shown that the mass of an asymptotically flat manifold with a noncompact boundary can be computed in terms of limiting surface integrals involving the Einstein tensor of the…