16 citations · 41 across the 6 of their papers we have counts for
6 papers
Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case
Diego A. Carranza, Juan A. Valiente Kroon
Using a metric conformal formulation of the Einstein equations, we develop a construction of 4-dimensional anti-de Sitter-like spacetimes coupled to tracefree matter models. Our st…
Conformal wave equations for the Einstein-tracefree matter system
Diego A. Carranza, Adem E. Hursit, Juan A. Valiente Kroon
Inspired by a similar analysis for the vacuum conformal Einstein field equations by Paetz [Ann. H. Poincaré 16, 2059 (2015)], in this article we show how to construct a system of q…
Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case
Diego A. Carranza, Juan A. Valiente Kroon
We make use of the metric version of the conformal Einstein field equations to construct anti-de Sitter-like spacetimes by means of a suitably posed initial-boundary value problem.…
Killing boundary data for anti-de Sitter-like spacetimes
Diego A. Carranza, Juan A. Valiente Kroon
Given an initial-boundary value problem for an anti-de Sitter-like spacetime, we analyse conditions on the conformal boundary ensuring the existence of Killing vectors in the space…
Modified Newtonian Dynamics as an entropic force
D. A. Carranza, S. Mendoza
Under natural assumptions on the thermodynamic properties of space and time with the holographic principle we reproduce a MOND-like behaviour of gravity on particular scales of mas…
A cosmological dust model with extended f(chi) gravity
D. A. Carranza, S. Mendoza, L. A. Torres
Introducing a fundamental constant of nature with dimensions of acceleration into the theory of gravity makes it possible to extend gravity in a very consistent manner. At the non-…