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Hybrid metric-Palatini gravity: General formalism and applications

2023/07/21 by Francisco S. N. Lobo
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Advanced Differential Geometry Research

paper · doi:10.1142/s021988782330009x

Abstract

It has been established that both metric and Palatini versions of [Formula: see text] gravity have interesting features but also manifest several downsides. A hybrid combination of theories, containing elements from both of these formalisms, turns out to be very successful in accounting for the observed phenomenology and it is able to avoid some drawbacks of the original approaches. Here, we explore the formulation of this hybrid metric-Palatini approach and its main achievements in passing the local tests and several applications to astrophysical and cosmological scenarios. More specifically, we present the weak-field limit, analyze the well-posedness of the Cauchy problem for the hybrid model and explore the viability of generalized hybrid metric-Palatini gravitational theories.

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