Abstract
We investigate the stability and enhancement of the physical characteristics of compact, relativistic objects which follow a quadratic equation of state. To achieve this, we make use of the Vaidya–Tikekar metric potential. This gravitational potential has been shown to be suitable for describing superdense stellar objects. Pressure anisotropy is also a key feature of our model and is shown to play an important role in maintaining stability. Our results show that the combination of the Vaidya–Tikekar gravitational potential used together with the quadratic equation of state provide models which are favourable. In comparison with other equations of state, we have shown that the quadratic equation of state mimics the colour-flavour-locked equation of state more closely than the linear equation of state.
Highlights
Equations of state remain a key aspect in the study of compact objects
We have shown that the quadratic equation of state is wellsuited to the description of highly dense and massive neutron stars, strange-matter stars and possibly the more exotic hybrid stars for which higher core densities and pressures are sought
Our results have shown the effectiveness of the quadratic term in achieving the higher densities and pressures while maintaining stability of the core
Summary
Equations of state remain a key aspect in the study of compact objects. In work involving GR, equations of state have been used in setting gravitational potentials and ensuring that physical viability is maintained. If strange stars have a non-homogeneous, shell-type internal structure, as proposed for neutron stars, different regions within the quark matter might invite the use of say region-specific equations of state as opposed to using a single EoS for the entire description of the star. This has already been considered in so-called hybrid stars [8] in which the high pressures and energy densities of the quark core might be underestimated by the simplistic linear equation of state. A recent method in which a quadratic EoS is employed for taking into
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
