Equilibrium and stability of relativistic stars in extended theories of gravity

Abstract

We study static, spherically symmetric equilibrium configurations in extended theories of gravity (ETG) following the notation introduced by Capozziello et {\it al}. We calculate the differential equations for the stellar structure in such theories in a very generic form i.e., the Tolman-Oppenheimer-Volkoff generalization for any ETG is introduced. Stability analysis is also investigated with special focus on the particular example of scalar-tensor gravity.

Final version to appear in EPJC

References in corpus (15)

• Dynamics of dark energy
• A Massive Pulsar in a Compact Relativistic Binary
• Beyond the Cosmological Standard Model
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Extreme neutron stars from Extended Theories of Gravity
• Generalized energy conditions in Extended Theories of Gravity
• Hypernuclear Physics for Neutron Stars
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity
• Magnetic Neutron Stars in f(R) gravity
• Constraining scalar-tensor theories of gravity from the most massive neutron stars
• Thermodynamic properties of modified gravity theories
• Newtonian View of General Relativistic Stars
• Extended Theories of Gravity with Generalized Energy Conditions
• Effects of strong magnetic fields on the population of hyperon stars

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