Piyali Bhar

A new solution of embedding class I representing anisotropic fluid sphere in general relativity

In the present paper we are willing to model anisotropic star by choosing a new grr metric potential. All the physical parameters like the matter density, radial and transverse pressure and are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of the present paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 times solar mass and radius=6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.

The dark energy star and stability analysis

We propose a new model of dark energy star consisting of five zones, namely, the solid core of constant energy density, the thin shell between core and interior, an inhomogeneous interior region with anisotropic pressures, a thin shell, and the exterior vacuum region. We discuss various physical properties. The model satisfies all the physical requirements. The stability condition under a small linear perturbation is also discussed.

Vaidya–Tikekar type superdense star admitting conformal motion in presence of quintessence field

To explain the accelerated expansion of our universe, dark energy is a suitable candidate. Motivated by this concept in the present paper we have obtained a new model of an anisotropic superdense star which admits conformal motions in the presence of a quintessence field which is characterized by a parameter

Exact Solution of a (2+1)-Dimensional Anisotropic Star in Finch and Skea Spacetime

\omega _q

A new class of relativistic model of compact stars of embedding class I

ωq with

A comparative study between EGB gravity and GTR by modeling compact stars

-1<\omega _q<-\frac{1}{3}