5 papers
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…
The mass of an asymptotically hyperbolic manifold with a noncompact boundary
Sergio Almaraz, Levi Lopes de Lima
We define a mass-type invariant for asymptotically hyperbolic manifolds with a noncompact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp pos…
Heat conservation for generalized Dirac Laplacians on manifolds with boundary
Levi Lopes de Lima
We consider a notion of conservation for the heat semigroup associated to a generalized Dirac Laplacian acting on sections of a vector bundle over a noncompact manifold with a (pos…