Ricci-Determinant gravity: Dynamical aspects and astrophysical implications

Hemza Azri, K. Yavuz Ekşi, Canan Karahan, Salah Nasri

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The Palatini gravitational action is enlarged by an arbitrary function of the determinants of the Ricci tensor and the metric, . The resulting Ricci-determinant theory exhibits novel deviations from general relativity. We study a particular realization where the extension is characterized by the square-root of the Ricci determinant, , which corresponds to the famous Eddington action. We analyze the obtained equations for perfect fluid source and show that the affine connection can be solved in terms of the energy density and pressure of the fluid through an obtained disformal metric. As an application, we derive the hydrostatic equilibrium equations for relativistic stars and inspect the significant effects induced by the square-root of the Ricci tensor. We find that an upper bound on , at which deviations from the predictions of general relativity on neutron stars become prominent, corresponds to the hierarchy between the Planck and the vacuum mass scales. The Ricci-determinant gravity that we propose here is expected to have interesting implications in other cosmological domains.

Original languageEnglish
Article number064049
JournalPhysical Review D
Issue number6
Publication statusPublished - Sept 15 2021

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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