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Multi-Layered Static Dense Stars in Einstein's Gravity: Applications of general relativity in modelling compact stars - Couverture souple

Saklany, Shweta; Sagar, Kumar Gaurav; Pant, Neeraj

 
9786209783821: Multi-Layered Static Dense Stars in Einstein's Gravity: Applications of general relativity in modelling compact stars

Synopsis

This monograph presents a rigorous analysis of multilayered compact stars within Einstein's gravitational framework, extending beyond isotropic fluid models to incorporate pressure anisotropy, stratified interiors with exotic phases, and baryonic–dark energy coupling, thereby achieving a physically faithful description of supra-nuclear matter.Exact solutions of non-linear field equations are constructed using Tolman–Kuchowicz, Vaidya–Tikekar, Buchdahl-I, and biquadratic geometries, with physical admissibility ensured via Darmois–Israel matching conditions. Stability is systematically examined through the generalized Tolman–Oppenheimer–Volkoff equilibrium, causality bounds, energy conditions, and cracking criteria.Four observationally grounded configurations are developed: dark energy-admixed stars exhibiting enhanced stability and higher mass limits; Karmarkar-constrained models consistent with massive pulsars; a three-layered quark–condensate–neutron structure motivated by phase transitions; and a two-layered core–shell system revealing mesonic interface dynamics.

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