New class of relativistic anisotropic strange star in Vaidya-Tikekar model

• Published in: Astrophysics and space science Vol. 365; no. 8
• Main Authors: Goswami, K. B., Saha, A., Chattopadhyay, P. K.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2020; Springer Nature B.V
• Subjects: Anisotropy; Astrobiology; Astronomy; Astrophysics; Astrophysics and Astroparticles; Cosmology; Equations of state; Mathematical models; Neutrons; Observations and Techniques; Original Article; Parameters; Physical properties; Physics; Physics and Astronomy; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Stars; Bag constant; Compact star; Anisotropic star; Higher dimension; Strange star
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-020-03856-9

A new class of compact cold star with strange matter is obtained in a spheroidal space-time with anisotropic pressure described by Vaidya-Tikekar metric. Considering strange matter equation of state namely p = 1 3 ( ρ − 4 B ) , where B is Bag constant in MIT Bag model, we determine the Mass-Radius relationship for Strange Star in four and higher dimensions using the value of surface density ρ s = 4 B with the allowed value of B ( 145 MeV < B 1 4 < 164.4 MeV or equivalently 57.55 MeV / fm 3 < B < 95.11 MeV / fm 3 ) with respect to neutron for stable strange matter with zero pressure condition. We found that for a constant B , a limiting value of the radius ( b ) of the star for which geometrical parameter R is real within the allowed range of B as mentioned above. We further note that in four dimension the compactness (ratio of mass to radius) of the star corresponding to the maximum radius is greater than 0.33 in isotropic case and increases when anisotropy increases. In case of five dimensions, we note that same type of nature with different values of compactness is observed. Causality condition holds good through out the star in this model up to a certain values of radius b for which R is real. The information about Mass-to-Radius ratio leads to the determination of total mass, radius and other physical parameters of the stellar configuration.