A generalized family of anisotropic compact object in general relativity

Journal Article · Wed Aug 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.05.012· OSTI ID:22852263

Ray, Saibal ^[1]; Ghosh, Shounak ^[2]; Manna, Sarbajit ^[3]

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1. Department of Physics, Government College of Engineering & Ceramic Technology, Kolkata 700010, West Bengal (India)
2. Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal (India)
3. Department of Materials Engineering, Indian Institute of Science, Bangalore 560012, Karnataka (India)

Highlights: • We present model for anisotropic compact star under general relativity. • Here a 4-dimensional spacetime is embedded into the 5-dimensional flat metric. • The spherically symmetric metric has class 1 under which solution set is obtained. • Interesting and physically viable results are found out. • Investigations on the physical features of the model are performed. - Abstract: We present model for anisotropic compact star under the general theory of relativity of Einstein. In the study a 4-dimensional spacetime has been considered which is embedded into the 5-dimensional flat metric so that the spherically symmetric metric has class 1. A set of solutions for the field equations are found depending on the index n involved in the physical parameters. The interior solutions have been matched smoothly at the boundary of the spherical distribution to the exterior Schwarzschild solution which necessarily provides values of the unknown constants. We have chosen the values of n as n=2 and n=10 to 20000 for which interesting and physically viable results can be found out. The investigations on the physical features of the model include several astrophysical issues, like (i) regularity behaviour of stars at the centre, (ii) well behaved condition for velocity of sound, (iii) energy conditions, (iv) stability of the system via the following three techniques — adiabatic index, Herrera cracking concept and TOV equation, (v) total mass, effective mass and compactification factor and (vi) surface redshift. Specific numerical values of the compact star candidates LMC X-4 and SMC X-1 are calculated for central and surface densities as well as central pressure to compare the model value with actual observational data.

• OSTI ID: 22852263
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 395; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
ASTROPHYSICS
EFFECTIVE MASS
FIELD EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
RED SHIFT
SCHWARZSCHILD METRIC
SOUND WAVES
SPACE-TIME
SPHERICAL CONFIGURATION
STARS