Minimum main sequence mass in quadratic Palatini $f(\mathcal{R})$ gravity

Abstract

General Relativity yields an analytical prediction of a minimum required mass of roughly $\sim 0.08-0.09M_{\odot }$ for a star to stably burn sufficient hydrogen to fully compensate photospheric losses and, therefore, to belong to the main sequence. Those objects below this threshold (brown dwarfs) eventually cool down without any chance to stabilize their internal temperature. In this work we consider quadratic Palatini $f(\mathcal{R})$ gravity and show that the corresponding newtonian hydrostatic equilibrium equation contains a new term whose effect is to introduce a weakening/strenghtening of the gravitational interaction inside astrophysical bodies. This fact modifies the General Relativity prediction for this minimum main sequence mass. Through a crude analytical modelling we use this result in order to constraint a combination of the quadratic $f(\mathcal{R})$ gravity parameter and the central density according to astrophysical observations.

arXiv comment9 pages, revtex4-1 style. v2: some footnotes and references added. Version accepted for publication in Phys. Rev. D

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• A Massive Pulsar in a Compact Relativistic Binary
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Testing General Relativity with Present and Future Astrophysical Observations
• Dark Energy after GW170817: dead ends and the road ahead
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Black holes, gravitational waves and fundamental physics: a roadmap
• The Cosmology of Generalized Modified Gravity Models
• Line and Mean Opacities for Ultracool Dwarfs and Extrasolar Planets
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Breaking a Dark Degeneracy with Gravitational Waves
• Peering into the dark side: magnesium lines establish a massive neutron star in PSR J2215+5135
• The gravity lagrangian according to solar system experiments
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Born-Infeld inspired modifications of gravity
• Scalar-tensor theories and modified gravity in the wake of GW170817
• The 1965 Penrose singularity theorem
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Astrophysical Probes of the Vainshtein Mechanism: Stars and Galaxies
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Hydrogen Burning in Low Mass Stars Constrains Alternative Gravity Theories
• Modified gravity inside astrophysical bodies
• Hamiltonian formulation of f(Riemann) theories of gravity
• Testing Gravity Using Dwarf Stars
• Mapping Ricci-based theories of gravity into general relativity
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• What is a singular black hole beyond General Relativity?
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Vainshtein regime in Scalar-Tensor gravity: constraints on DHOST theories
• A Survey of 56 Mid-latitude EGRET Error Boxes for Radio Pulsars
• Starobinsky cosmological model in Palatini formalism
• Equilibrium and stability of relativistic stars in extended theories of gravity
• On stability of a neutron star system in Palatini gravity
• Regularizing cosmological singularities by varying physical constants
• Polytropic stars in Palatini gravity
• Emergence of dynamical dark energy from polynomial $f(R)$ theory in Palatini formalism
• Varying constants quantum cosmology

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• From fundamental physics to tests with compact objects in metric-affine theories of gravity
• Constraining fundamental parameters in modified gravity using Gaia-DR2 massive white dwarf observation
• Stellar structure in $f(R,T)$ gravity: some exact solutions
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
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