Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity

Abstract

In the current article, we study anisotropic spherically symmetric strange star under the background of $f(R,T)$ gravity using the metric potentials of Tolman-Kuchowicz type~\cite{Tolman1939,Kuchowicz1968} as $\lambda (r)=\ln (1+a{r}^2+b{r}^4)$ and $\nu (r)=B{r}^2+2\ln C$ which are free from singularity, satisfy stability criteria and also well behaved. We calculate the value of constants $a$, $b$, $B$ and $C$ using matching conditions and the observed values of the masses and radii of known samples. To describe the strange quark matter (SQM) distribution, here we have used the phenomenological MIT bag model equation of state (EOS) where the density profile ($\rho$) is related to the radial pressure ($p_r$) as $p_r(r)=\frac{1}{3}(\rho -4B_g)$. Here quark pressure is responsible for generation of bag constant $B_g$. Motivation behind this study lies in finding out a non-singular physically acceptable solution having various properties of strange stars. The model shows consistency with various energy conditions, TOV equation, Herrera's cracking condition and also with Harrison-Zel${}^{\prime }$dovich-Novikov's static stability criteria. Numerical values of EOS parameter and the adiabatic index also enhance the acceptability of our model.

14 pages, 11 figures

References in corpus (24)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Shapiro delay measurement of a two solar mass neutron star
• f(R,T) gravity
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Extra force in $f(R)$ modified theories of gravity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Modified gravity with arbitrary coupling between matter and geometry
• A f(R) gravity without cosmological constant
• Anisotropic models for compact stars
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Dark Matter From f(R,T) Gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Generalized model for anisotropic compact stars
• Mass Ejection by Strange Star Mergers and Observational Implications
• A comparison of Hořava-Lifshitz gravity and Einstein gravity through thin-shell wormhole construction
• A new deterministic model of strange stars
• The dark energy equation of state
• Constraining values of bag constant for strange star candidates
• Strange quark matter fragmentation in astrophysical events
• Stability of magnetized strange quark matter in the MIT bag model with the density dependent bag pressure

Cited by in corpus (1)

• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background