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 $R+a{R}^2$. 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.

6 pages, 2 tables, 3 figures, to appear in PRD

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• Anisotropic quark stars in $R^2$ gravity
• Greybody factors for a minimally coupled scalar field in three-dimensional Einstein-power-Maxwell black hole background
• Anisotropic stars made of exotic matter within the complexity factor formalism
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Radial oscillations and tidal Love numbers of dark energy stars
• Gravastar model in Krori-Barua metric under $f(Q)$ gravity
• Anisotropic Dark Matter Stars
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• On exotic objects made of dark energy and dark matter: Mass-to-radius profiles and tidal Love numbers