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Effective Einstein cosmological spaces for non-minimal modified gravity

Elizalde, Emilio ; Vacaru, Sergiu

In: General Relativity and Gravitation, 2015, vol. 47, no. 6, p. 1-27

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    Titre
    • Effective Einstein cosmological spaces for non-minimal modified gravity
    Auteur
    • Elizalde, Emilio. Instituto de Ciencias del Espacio, Consejo Superior de Investigaciones Científicas, ICE-CSIC and IEEC, Campus UAB, Facultat de Ciències, Torre C5-Parell-2a planta, 08193, Bellaterra, Barcelona, Spain
    • Vacaru, Sergiu. Theory Division, CERN, 1211, Geneva 23, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • General Relativity and Gravitation, 2015, vol. 47, no. 6, p. 1-27. Springer US; http://www.springer-ny.com
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:332490
    Summary
    Certain off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $$ f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) type. We prove this statement by constructing exact and approximate solutions which encode certain models of covariant Hořava type gravity with dynamical Lorentz symmetry breaking. Off-diagonal generalizations of de Sitter and nonholonomic $$\Lambda $$ Λ CDM universes are constructed which are generated through nonlinear gravitational polarization of fundamental physical constants and which model interactions with non-constant exotic fluids and effective matter. The problem of possible matter instability for such off-diagonal deformations in (modified) gravity theories is discussed.