Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P502
Here we are considering the Vaidya-Tikekar metric which represents a 3- dimensional space with time time equals a constant, in a spheroidal super dense star. We report a general solution to Vaidya-Tikekar metric (in terms of hyper-geometric series), used in modelling Einstein’s field equations. These models permits densities approximates to the order of 2 *1014 gmcm-3, radio of the order of few kilometers and maximum mass up to four times the solar mass.
[1] P.C. Vaidya, Ramesh Tikekar, Exact Relativistic Model for a Superdense Star, Journal of Astrophysics and Astronomy (1982) 3, 325–334.
[2] V.O. Thomas, D.M. Pandya, Compact stars on pseudo-spheroidal spacetime compatible with observational data,Astrophys Space Sci (2015) 360:59.
[3] Henning Knutsen,On the stability and physical properties of an exact Relativistic Model for a Superdense Star, Mon. Not. R. astr. Soc (1988) 232 163-174.
[4] Aiswarya S. Sasidharan and Sabu M.C., General solution to Vaidya Tikekar metric with charged distributions on spheroidal Space time, JournalNX - A Multidisciplinary Peer Reviewed Journal, (2021) 7(04), 242–247.
[5] V.O. Thomas, D.M. Pandya, A new class of solutions of compact stars with charged distributions on pseudo-spheroidal spacetime, Astrophys Space Sci (2015) 360:39.
[6] D. M. Pandya, V. O. Thomas and R. Sharma, Modified Finch and Skea stellar model compatible with observational data, Astrophys Space Sci (2015) 356:285-292.
[7] Naren Babu O.V, Hemalatha.R and Sabu M.C, An Exact Super dense Star Model on Spheroidal space-time, Astrophys Space Sci (2020).
[8] Y.K. Gupta and M.K. Jasim, On most general exact solution for Vaidya-Tikekar isentropic superdense star, Astrophys Space Sci, (2000), 272, 403 .
[9] Dr. Sabu M. C., Aiswarya S. Sasidharan, Jeet Kurian Mattam, Static general solution to Einstein’s Field Equations, Volume 7, Issue 6, of JournalNX- A Multidisciplinary Peer Reviewed Journal, June 2021, Published by Novateur Publication, M.S. India.(2021)
[10] Richard C. Tolman, Static Solutions of Einstein’s Field Equations for Spheres of Fluid, Phys. Rev. 55, (1939), 364.
[11] Baym G. et al, 7th International Conference High Energy Physics and Nuclear Structure, (1977), SIN, Zurich.
[12] https://www.sharelatex.com/
Aiswarya S. Sasidharan, Dr. Sabu M. C., "General solution to Vaidya-Tikekar metric," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 15-25, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P502