Correspondence between modified gravity and general relativity with scalar fields
Abstract
We describe a novel procedure to map the field equations of nonlinear Riccibased metricaffine theories of gravity, coupled to scalar matter described by a given Lagrangian, into the field equations of general relativity coupled to a different scalar field Lagrangian. Our analysis considers examples with a single and N real scalar fields, described either by canonical Lagrangians or by generalized functions of the kinetic and potential terms. In particular, we consider several explicit examples involving f (R ) theories and the Eddingtoninspired BornInfeld gravity model, coupled to different scalar field Lagrangians. We show how the nonlinearities of the gravitational sector of these theories can be traded to nonlinearities in the matter fields and how the procedure allows to find new solutions on both sides of the correspondence. The potential of this procedure for applications of scalar field models in astrophysical and cosmological scenarios is highlighted.
 Publication:

Physical Review D
 Pub Date:
 February 2019
 DOI:
 10.1103/PhysRevD.99.044040
 arXiv:
 arXiv:1810.04239
 Bibcode:
 2019PhRvD..99d4040A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 14 pages