Neutron Stars in f(R) Gravity with Perturbative Constraints

By Alan Cooney, Simon DeDeo, Dimitrios Psaltis. 2009

134 citations recorded by the source corpus.

We study the structure of neutron stars in f(R) gravity theories with perturbative constraints. We derive the modified Toltnan-Oppenheimer-Volkov equations and solve them for a polytropic equation of state. We investigate the resulting modifications to the masses and radii of neutron stars and show that observations of surface phenomena alone cannot break the degeneracy between altering the theory of gravity versus choosing a different equation of state of neutron-star matter. On the other hand, observations of neutron-star cooling, which depends on the density of matter at the stellar interior, can place significant constraints on the parameters of the theory.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/6406b60bf136dcb2372437f92bf296f00ce95d43

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Oceanography

Citations in the corpus

f(R) Theories (2010, methodology): “The structure of relativistic stars in f (R) gravity has been studied by a number of authors [349, 350, 594, 43, 600, 466, 42, 167].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, methodology): “[213] consider only the effect of higher-order corrections and take a polytrope (46) with Γ = 9/5 and numerically integrate (RungeKutta method) the generalized Einstein and TOV equations (21), (22), (23) and (24) from the star’s center with some initial free conditions upon the functions A(0), B(0) ”
Modified Gravity and Cosmology (2011, background): “Neutron stars in f(R) gravity have been studied in [332, 1099], and instabilities in systems with time-dependent mass have been studied in [60].”
Constraints on perturbative f(R) gravity via neutron stars (2010, methodology): “For this reason, we adopt a perturbative approach as suggested in [37] and choose f(R) such that all terms higher than second order will be multiplied by a small parameter α.”