2018
DOI: 10.1103/physrevd.97.024025
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Dark stars in Starobinsky’s model

Abstract: 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-… Show more

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Cited by 23 publications
(15 citation statements)
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References 95 publications
(116 reference statements)
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“…Only for sufficiently heavy stars, M ≥ 125 M ⊙ , the Gauss-Bonnet parameter starts to have a considerable impact on the profiles. Similar results were obtained in the four-dimensional Starobinsky model [66,67].…”
Section: Numerical Resultssupporting
confidence: 85%
“…Only for sufficiently heavy stars, M ≥ 125 M ⊙ , the Gauss-Bonnet parameter starts to have a considerable impact on the profiles. Similar results were obtained in the four-dimensional Starobinsky model [66,67].…”
Section: Numerical Resultssupporting
confidence: 85%
“…From this Eqn. (23) we observe that when = 0, the Hamiltonians become ill-defined, which signifies the necessity of having near-null coordinates to construct the Hamiltonians. Using Hamilton's equation, the field momentum Π can be expressed as…”
Section: Field Hamiltonianmentioning
confidence: 99%
“…The greybody factor is obtained from the transmission amplitude as the field modes pass from near horizon region to an asymptotic observer through the effective potential, created due to the spacetime geometry. Estimation of this greybody factor is a very difficult job and often utilises various approximations like evaluating the greybody factors particularly in asymptotically low or high frequency regimes [15][16][17][18][19][20][21][22][23]. Sometimes, one is forced to take the extremal limit to evaluate these quantities [24][25][26].…”
Section: Introductionmentioning
confidence: 99%
“…In particular, α r corresponds to the most right value of α and the pair (α t , β t ) stands for coordinates of the top of the shadow [60]. With all the quantities defined in this section, the emission rate [56,[61][62][63][64][65][66][67] can be calculated by…”
Section: Hawking Temperature and Emission Rate Of A Rotating Blacmentioning
confidence: 99%