Anisotropic stars for spherically symmetric spacetimes satisfying the Karmarkar condition

Journal Article · Sat Jul 15 04:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.04.008· OSTI ID:22701504

A new class of solution describing an anisotropic stellar configuration satisfying Karmarkar’s condition i.e. spherically symmetric metric of embedding class 1, is reported. It has been shown that the compact star model is physically well-behaved and meet all the physical requirements for a stable configuration in hydrostatic equilibrium. Our model describes compact stars like Vela X-1 and 4U1608-52 to a very good approximation. - Highlights: • We consider the Einstein field equations for spherically symmetric spacetimes of embedding class one. • We explore the Karmarkar condition for spherically symmetric, bounded matter configurations. • The Karmarkar condition reduces the solution-generating method to the Einstein field equations to a single metric function. • By specifying this metric function we generate physically plausible stellar configurations with anisotropic pressure.

• OSTI ID: 22701504
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 382; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
EINSTEIN FIELD EQUATIONS
GENERAL RELATIVITY THEORY
MATHEMATICAL SOLUTIONS
METRICS
STAR MODELS
SYMMETRY