Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Avalos, Rodrigo"'
Autor:
Avalos, Rodrigo
In this paper, we address the existence of preferred asymptotic coordinates on asymptotically Euclidean (AE) manifolds $(M^3,g)$ such that $g$ admits an asymptotically Schwarzschildian first order expansion, based purely on a priori geometric conditi
Externí odkaz:
http://arxiv.org/abs/2403.04034
Autor:
Avalos, Rodrigo
In this paper we analyse a family of geometrically well-behaved cosmological space-times $(V^{n+1},g)$, which are foliated by intrinsically isotropic space-like hypersurfaces $\{M_t\}_{t\in \mathbb{R}}$, which are orthogonal to a family of co-moving
Externí odkaz:
http://arxiv.org/abs/2211.07013
In this paper we prove some rigidity theorems associated to $Q$-curvature analysis on asymptotically Euclidean (AE) manifolds, which are inspired by the analysis of conservation principles within fourth order gravitational theories. A central object
Externí odkaz:
http://arxiv.org/abs/2204.03607
In the present paper, we study the coupled Einstein Constraint Equations (ECE) on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. In particular, we do not impose any specific model for inf
Externí odkaz:
http://arxiv.org/abs/2201.08347
In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitational theories generated via a quadratic Lagrangian. In particular, we focus on the associated notion of energy and start a progra
Externí odkaz:
http://arxiv.org/abs/2102.00545
In this paper we prove a positive energy theorem related to fourth-order gravitational theories, which is a higher-order analogue of the classical ADM positive energy theorem of general relativity. We will also show that, in parallel to the correspon
Externí odkaz:
http://arxiv.org/abs/2102.00522
Autor:
Freitas, Allan, Ávalos, Rodrigo
The aim of this paper is to present a version of the generalized Pohozaev-Schoen identity in the context of asymptotically euclidean manifolds. Since these kind of geometric identities have proven to be a very powerful tool when analysing different g
Externí odkaz:
http://arxiv.org/abs/2006.13982
Autor:
Avalos, Rodrigo, Lira, Jorge H.
Publikováno v:
Ann. Henri Poincar\'e, 2022
In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically Euclidean (AE) manifolds. In
Externí odkaz:
http://arxiv.org/abs/1910.08688
Autor:
Avalos, Rodrigo, Lira, Jorge H.
The reduced thin-sandwich equations (RTSE) appear within Wheeler's thin-sandwich approach towards the Einstein constraint equations (ECE) of general relativity. It is known that these equations cannot be well-posed in general, but, on closed manifold
Externí odkaz:
http://arxiv.org/abs/1902.05221
Autor:
Avalos, Rodrigo1 (AUTHOR) rdravalos@gmail.com
Publikováno v:
Letters in Mathematical Physics. Oct2023, Vol. 113 Issue 5, p1-34. 34p.
