67 citations · 219 across the 12 of their papers we have counts for
12 papers
Closed conformal Killing-Yano initial data
Alfonso García-Parrado, Igor Khavkine
Through an exhaustive search, we produce a 5-parameter family of propagation identities for the closed conformal Killing-Yano equation on 2-forms, which hold on an Einstein cosmolo…
Conformal Killing Initial Data
Alfonso García-Parrado, Igor Khavkine
We find necessary and sufficient conditions ensuring that the vacuum development of an initial data set of the Einstein's field equations admits a conformal Killing vector. We refe…
Gravitational radiation and the evolution of gravitational collapse in cylindrical symmetry
Alfonso García-Parrado, Filipe C. Mena
Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then st…
Type D conformal initial data
Alfonso García-Parrado
For a vacuum initial data set of the Einstein field equations it is possible to carry out a conformal rescaling or conformal compactification of the data giving rise to an initial…
Further properties of causal relationship: causal structure stability, new criteria for isocausality and counterexamples
Alfonso García-Parrado, Miguel Sánchez
Recently ({\em Class. Quant. Grav.} {\bf 20} 625-664) the concept of {\em causal mapping} between spacetimes --essentially equivalent in this context to the {\em chronological map}…
Causal structures and causal boundaries
Alfonso García-Parrado, José M. M. Senovilla
We give an up-to-date perspective with a general overview of the theory of causal properties, the derived causal structures, their classification and applications, and the definiti…
Bi-conformal vector fields and their applications
Alfonso García-Parrado, José M. M. Senovilla
We introduce the concept of bi-conformal transformation, as a generalization of conformal ones, by allowing two orthogonal parts of a manifold with metric $\G$ to be scaled by diff…
General study and basic properties of causal symmetries
Alfonso García-Parrado, José M. M. Senovilla
We fully develop the concept of causal symmetry introduced in Class. Quant. Grav. 20 (2003) L139. A causal symmetry is a transformation of a Lorentzian manifold (V,g) which maps ev…
Causal symmetries
Alfonso García-Parrado, José M. M. Senovilla
Based on the recent work \cite{PII} we put forward a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal…
Causal symmetries
A. García-Parrado, J. M. M. Senovilla
We define a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal future-directed vector. The set of all su…
Causal Relationship: a new tool for the causal characterization of Lorentzian manifolds
Alfonso García-Parrado, José M M Senovilla
We define and study a new kind of relation between two diffeomorphic Lorentzian manifolds called {\em causal relation}, which is any diffeomorphism characterized by mapping every c…
Causal Relations and their applications
Alfonso García-Parrado, José M. M. Senovilla
In this work we define and study the relations between Lorentzian Manifolds given by the diffeomorphisms which map causal future directed vectors onto causal future directed vector…