Indian Journal of Science and Technology

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Motion of Stellar Particles and Photons within Spherical Liquid Stars


Affiliations
1 Department of Physics, Federal University Dutse, P.M.B 7156, Dutse, Jigawa State, Nigeria
2 Department of Physics, Gombe State University, Gombe, Nigeria
3 SRM Research Institute, SRM University, Kattankulathur, Chennai – 603203, Tamil Nadu, India
 

Objectives: The motion of test particles and photons within a spherical liquid star is studied. Equations of motion of test particles in the star’s interior and equatorial plane are derived. The general relativity interior metric tensor for a spherical liquid star and tensor analysis is used to study the motion of particles and photons within the star. Methods: The obtained geodesic equations of motion for stellar particles are explicitly space coordinate and coordinate proper time derivatives. This differs from Schwarz child’s equations of motion in a gaseous field. Findings: Along the equatorial plane of the liquid star, the equations of motion have additional terms not found in Schwarz child’s field and in Newtonian theory. The equation of motion of a photon in this gravitational field differs from that of Schwarz child’s mass point field by the definition of its Hilbert radius. Applications: This article thus initiates the study of the motion of stellar particles and photons within spherical liquid stars in the framework of the General Theory of Relativity which hitherto has not been exploited.
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  • Motion of Stellar Particles and Photons within Spherical Liquid Stars

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Authors

Chifu E. Ndikilar
Department of Physics, Federal University Dutse, P.M.B 7156, Dutse, Jigawa State, Nigeria
Amusa S. Kolawole
Department of Physics, Gombe State University, Gombe, Nigeria
Hafeez Y. Hafeez
SRM Research Institute, SRM University, Kattankulathur, Chennai – 603203, Tamil Nadu, India

Abstract


Objectives: The motion of test particles and photons within a spherical liquid star is studied. Equations of motion of test particles in the star’s interior and equatorial plane are derived. The general relativity interior metric tensor for a spherical liquid star and tensor analysis is used to study the motion of particles and photons within the star. Methods: The obtained geodesic equations of motion for stellar particles are explicitly space coordinate and coordinate proper time derivatives. This differs from Schwarz child’s equations of motion in a gaseous field. Findings: Along the equatorial plane of the liquid star, the equations of motion have additional terms not found in Schwarz child’s field and in Newtonian theory. The equation of motion of a photon in this gravitational field differs from that of Schwarz child’s mass point field by the definition of its Hilbert radius. Applications: This article thus initiates the study of the motion of stellar particles and photons within spherical liquid stars in the framework of the General Theory of Relativity which hitherto has not been exploited.

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DOI: https://doi.org/10.17485/ijst%2F2018%2Fv11i33%2F117485