41 citations · 173 across the 17 of their papers we have counts for
19 papers
On energy and its positivity in spacetimes with an expanding flat de Sitter background
Rodrigo Avalos, Eric Ling, Annachiara Piubello
The positive energy theorems are a fundamental pillar in mathematical general relativity. Originally proved by Schoen-Yau and later Witten, these theorems were established for asym…
A static and spherically symmetric hairy black hole in the framework of the Gravitational Decoupling
R. Avalos, P. Bargueño, E. Contreras
In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The…
On the Rigidity of Cosmological Space-times
Rodrigo Avalos
In this paper we analyse a family of geometrically well-behaved cosmological space-times , which are foliated by intrinsically isotropic space-like hypersurfaces $\{M_…
Traversable wormholes with like--Casimir complexity supported with arbitrarily small amount of exotic matter
R. Ávalos, E. Fuenmayor, E. Contreras
In this work we construct traversable wormholes geometries in the framework of the complexity factor. We provide the redshift function of a Casimir traversable wormhole which, in c…
Construction of a traversable wormhole from a suitable embedding function
A. Rueda, R. Ávalos, E. Contreras
In this work, we construct a traversable wormhole by providing a suitable embedding function ensuring the fulfilling of the flaring--out condition. The solution contains free param…
Rigidity Theorems for Asymptotically Euclidean -singular Spaces
Rodrigo Avalos, Paul Laurain, Nicolas Marque
In this paper we prove some rigidity theorems associated to -curvature analysis on asymptotically Euclidean (AE) manifolds, which are inspired by the analysis of conservation pr…
Einstein Type Systems on Complete Manifolds
Rodrigo Avalos, Jorge Lira, Nicolas Marque
In this paper, we study the coupled Einstein constraint equations on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. T…
Geodesic motion around hairy black holes
A. Ramos, C. Arias, R. Ávalos +1
In a recent paper (Phys. Dark Univ. {\bf 31}, 100744 (2021)) it has been obtained new static black hole solutions with primary hairs by the Gravitational Decoupling. In this work w…
Energy in Fourth Order Gravity
Rodrigo Avalos, Jorge H. Lira, Nicolas Marque
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 part…
On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity
Rodrigo Avalos, Paul Laurain, Jorge Lira
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 ge…
The Pohozaev-Schoen Identity on Asymptotically Euclidean Manifolds: Conservation Identities and their applications
Allan Freitas, Rodrigo Ávalos
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 identi…
Einstein-type elliptic systems
Rodrigo Avalos, Jorge H. Lira
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 re…
Reduced thin-sandwich equations on manifolds euclidean at infinity and on closed manifolds: existence and multiplicity
Rodrigo Avalos, Jorge H. Lira
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 th…
On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
R. Avalos, I. P. Lobo, T. Sanomiya +1
In this paper, we analyse the well-posedness of the initial value formulation for particular kinds of geometric scalar-tensor theories of gravity, which are based on a Weyl integra…
On the -embedding of Lorentzian manifolds in Ricci-flat spaces
Rodrigo Avalos, Fábio Dahia, Carlos Romero
In this paper we investigate the problem of non-analytic embeddings of Lorentzian manifolds in Ricci-flat semi-Riemannian spaces. In order to do this, we first review some relevant…
On the proof of the Thin Sandwich Conjecture in arbitrary dimensions
R. Avalos, F. Dahia, C. Romero +1
In this paper we show the validity, under certain geometric conditions, of Wheeler's thin sandwich conjecture for higher dimensional theories of gravity. We extend the results show…
On the embedding of Weyl manifolds
R. Avalos, F. Dahia, C. Romero
We discuss the possibility of extending different versions of the Campbell-Magaard theorem, which have already been established in the context of semi-Riemannian geometry, to the c…
A note on the problem of proper time in Weyl space-time
R. Avalos, F. Dahia, C. Romero
We discuss the question of whether or not a general Weyl structure is a suitable mathematical model of space-time. This is an issue that has been in debate since Weyl formulated hi…
Perihelion advances for the orbits of Mercury, Earth and Pluto from Extended Theory of General Relativity (ETGR)
Luis Santiago Ridao, Rodrigo Avalos, Martín Daniel De Cicco +1
We explore the geodesic movement on an effective four-dimensional hypersurface that is embedded in a five-dimensional Ricci-flat manifold described by a canonical metric, in order…