Cracking and stability of non-rotating relativistic spheres with anisotropic internal stresses

Phytoplankton and Zooplankton Diversity and Water Quality Assessment of Three Ponds in Hooghly District (West Bengal, India)

“…Ratanpal [64] shortly deduced a simplified method for verifying the cracking condition for a spherically static symmetric spacetime with decreasing matter density with r in terms of the gradient of anisotropy with respect to r. Potentially stable regions are those where δ∆ δr ≥ 0, while potentially unstable regions are those where δ∆ δr < 0. For different values of α, the profiles of V 2 r and V 2 t are shown in the upper left and right panels of Fig.…”

Odonata diversity in and around Vadodara, Gujarat, India

“…r ≤ 0 are potentially stable and the region for which 0 ≤ v 2 ⊥ − v 2 r ≤ 1 are potentially unstable inside a stellar configuration. [34] analyzed the role of anisotropy in potentially stable or unstable regions based on the criteria put forward by Abreu et al According to the theorem used by [34], if 8π √ 3S = p r − p ⊥ is a decreasing function of r, then the stellar configuration is potentially stable. Table (3) shows that numerical values of the (v 2 ⊥ − v 2 r ) at center as well as boundary of the star for the compact object 4U 1820 − 30.…”