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Hybrid metric-Palatini gravity: General formalism and applications

F. S. N. Lobo

Abstract
It has been established that both metric and Palatini versions of f(R) 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.

Keywords
Modified gravity; hybrid metric-Palatini gravity

International Journal of Geometric Methods in Modern Physics
Volume 20, Issue s01
2023 December

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia