Robust approach to f(R) gravity

Abstract

We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential that might be ill defined (not single valued). In order to explicitly show the usefulness of this method, we focus on static and spherically symmetric spacetimes and deal with the recent controversy about the existence of extended relativistic objects in certain class of f(R) models.

5 pages; 2 figures (4 panels); minor corrections to match the published version; panel added

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• f(R) theories
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Cited by in corpus (47)

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• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
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• Structure of neutron stars in R-squared gravity
• Rapidly rotating neutron stars in $R$-squared gravity
• Towards geometric inflation: the cubic case
• Lorentz violation in the gravity sector: The t puzzle
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
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• Non-trivial black hole solutions in $f(R)$ gravitational theory
• Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation
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• Structure of Compact Stars in R-squared Palatini Gravity
• Note on the equation of state of geometric dark-energy in f(R) gravity
• A hybrid model of viscous and Chaplygin gas to tackle the Universe acceleration
• Solar System tests and chameleon effect in f (R) gravity
• Equation of State of Neutron Stars with Junction Conditions in the Starobinsky Model
• Astrophysical black holes as natural laboratories for fundamental physics and strong-field gravity
• About matter and dark-energy domination eras in R^n gravity or lack thereof
• A Born-Infeld-like f(R) gravity
• Characteristic Formulation for Metric $f(R)$ Gravity
• Infinitely degenerate exact Ricci-flat solutions in f(R) gravity
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Vacuum solutions around spherically symmetric and static objects in the Starobinsky model
• On static and spherically symmetric solutions of Starobinsky model
• Late-time and Big Bang nucleosynthesis constraints for generic modify gravity surveys
• Relativistic stars in Starobinsky gravity with the matched asymptotic expansions method
• Spherical vacuum and scalar collapse for the Starobinsky R^2 model
• On the Hyperbolicity and Stability of $3+1$ Formulations of Metric $f(R)$ Gravity
• Thermal phase transition in $F(R)$-charged $Ad{S}_4$-scalar theory
• Self-gravitating systems in Extended Gravity
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• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• Probing Strong Field $f(R)$ Gravity and Ultra-Dense Matter with the Structure and Thermal Evolution of Neutron Stars
• Cosmic acceleration in asymptotically Ricci flat Universe
• Linear perturbations spectra for dynamical dark energy inspired by modified gravity
• Nonstatic Reissner-Nordström metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation
• Gravity with higher-curvature terms and second-order field equations: $f(\mathcal{R})$ meets Gauss-Bonnet
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity