Neutron stars in the Starobinsky model

Ganguly, A.; Gannouji, Radouane; Goswami, Rituparno; Ray, Subharthi

doi:10.1103/physrevd.89.064019

Cited by 123 publications

(104 citation statements)

References 79 publications

(131 reference statements)

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“…In addition, the Starobinsky model is a viable candidate for cosmological inflation, and according to the latest Planck data a ≃ 10 −45 (N/50) 2 eV −2 [45,46], where N is the number of e-folds.…”

Section: Numerical Resultsmentioning

confidence: 99%

Dark stars in Starobinsky’s model

Panotopoulos

Lopes

2018

Phys. Rev. D

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In the present work we study non-rotating dark stars in f (R) modified theory of gravity. In particular, we have considered bosonic self-interacting dark matter modelled inside the star as a Bose-Einstein condensate, while as far as the modified theory of gravity is concerned we have assumed Starobinsky's model R + aR 2 . We solve the generalized structure equations numerically, and we obtain the mass-to-ratio relation for several different values of the parameter a, and for two different dark matter equation-of-states. Our results show that the dark matter stars become more compact in the R-squared gravity compared to General Relativity, while at the same time the highest star mass is slightly increased in the modified gravitational theory. The numerical value of the highest star mass for each case has been reported.

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Section: Numerical Resultsmentioning

confidence: 99%

Dark stars in Starobinsky’s model

Panotopoulos

Lopes

2018

Phys. Rev. D

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“…The rationale behind matching with a Schwarzchild is discussed in reference [4]. We also refer to the work of Ganguly et al [22]. Schwarzchild solution is given by…”

Section: Matching Of the Collapsing Fluid With A Schwarzschild Exteriormentioning

confidence: 99%

Gravitational collapse in f (R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

Chakrabarti

Banerjee

2016

Eur. Phys. J. Plus

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The gravitational collapse of a spherical distribution, in a class of f(R) theories of gravity, where f(R) is power function of R, is discussed. The spacetime is assumed to admit a homothetic Killing vector. In the collapsing modes, some of the situations indeed hit a singularity, but they are all covered with an apparent horizon. Some peculiar cases are observed where the collapsing body settles to a constant radius at a given value of the radial coordinate.

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“…The existence of such stellar solutions is already shown in many earlier works (see for example [22,27] and the references therein). Apart from the regularity, thermodynamic stability and matching conditions that are used to prove the Buchdahl-Bondi limit in GR, we now have to deal with other extra conditions:…”

Section: B In This Papermentioning

confidence: 58%

Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars

2015

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We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f (R)-theory of gravity, subject to very generic regularity, thermodynamic stability and matching conditions. Similar to the case of general relativity, our result is model independent and remains true for any physically realistic equation of state of standard stellar matter. We show that an extra-massive stable star can exist in these theories, with surface redshift larger than 2, which is forbidden in general relativity. This result gives a novel and interesting observational test for validity or otherwise of general relativity and also provides a possible solution to the dark matter problem.

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Neutron stars in the Starobinsky model

Cited by 123 publications

References 79 publications

Dark stars in Starobinsky’s model

Dark stars in Starobinsky’s model

Gravitational collapse in f (R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars

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