Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000ap%26ss.272..403g&link_type=abstract
Astrophysics and Space Science, v. 272, Issue 4, p. 403-415 (2000).
Astronomy and Astrophysics
Astrophysics
9
Scientific paper
The energy density of Vaidya-Tikekar isentropic superdense star is found to be decreasing away from the center, only if the parameter K is negative. The most general exact solution for the star is derived for all negative values of K in terms of circular and inverse circular functions. Which can further be expressed in terms of algebraic functions for K = 2-(n/δ)2 < 0 (n being integer andδ = 1,2,3 4). The energy conditions 0 ≤ p ≤ αρc 2, (α = 1 or 1/3) and adiabatic sound speed conditiondp dρ ≤ c 2, when applied at the center and at the boundary, restricted the parameters K and α such that .18 < -K -2287 and.004 ≤ α ≤ .86. The maximum mass of the star satisfying the strong energy condition (SEC), (α = 1/3) is found to be3.82 Mq· at K=-2/3, while the same for the weak energy condition (WEC), (α =1) is 4.57 M_ &sun; atK=->5/2. In each case the surface density is assumed to be 2 × 1014 gm cm-3. The solutions corresponding to K>0 (in fact K>1) are also made meaningful by considering the hypersurfaces t= constant as 3-hyperboloid by replacing the parameter R 2 by -R2 in Vaidya-Tikekar formalism. The solutions for the later case are also expressible in terms of algebraic functions for K=2-(n/δ2 > 1 (n being integer or zero and δ =1,2,3 4). The cases for which 0 < K < 1 do not possess negative energy density gradient and therefore are incapable of representing any physically plausible star model. In totality the article provides all the physically plausible exact solutions for the Buchdahl static perfect fluid spheres.
Gupta Y. K.
Jasim M. K.
No associations
LandOfFree
On most general exact solution for Vaidya-Tikekar isentropic superdense star does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On most general exact solution for Vaidya-Tikekar isentropic superdense star, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On most general exact solution for Vaidya-Tikekar isentropic superdense star will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1523959