Gravitomagnetic Coupling in a Weak Field Approximation

dc.contributor.authorSarki, M.U.
dc.contributor.authorEwa, I.I.
dc.contributor.authorMustapha, I.M.
dc.contributor.authorYusuf, M.A.
dc.contributor.authorIsah, S.H.
dc.date.accessioned2023-12-14T07:51:39Z
dc.date.available2023-12-14T07:51:39Z
dc.date.issued2019-06-12
dc.description.abstractAccording to general relativity, a moving or rotating matter should produce contribution to the gravitational field which is in analogy to the magnetic field of a moving charge or magnetic dipole; we can thus express the general relativity in a Maxwellian structure with the existence of single operator for both fields. In this research work, we studied the coupling of Maxwell's dynamical theory of electromagnetism in a non-static gravitational field by applying an obtained gravitational scalar potential to the Riemann's laplacian operator. In the limit of weak gravitation, we obtained the dynamical gravitomagnetic scalar potential across the fields. While in the boundary conditions the results are generalized gravitomagnetic potential. our results will thus widen the scope into study of gravitomagnetic coupling.en_US
dc.identifier.citationBezerra, V.B., Barros, A and Romero, C (2005). On some Aspects of Gravitomagnetism in Scalar-Tensor Theories of Gravity, Brazilian Journal of Physics, 35:4b:1057-1061. Chifu, E.N (2009). Solutions of Einstein’s Geometrical Gravitational Field Equations Exterior to Astrophysically Real or Hypothetical Time varying Distributions of Mass within Regions of Spherical Geometry, Progress in Physics,3:45-48. Gupta, B.D (2010). Mathematical Physics, Vikas Publishing HousePVT LTD, New Delhi. Howusu, S.X.K. (2009).The Metric Tensors For Gravitational Filed and The Mathematical Princicples of Theoretical Physics,Jos University Press ltd, Plateau State Nigeria. Howusu, S.X.K (2010a). Solution of Einstein’s Geometrical Gravitational Field Equations, Jos University Press ltd, Plateau State Nigeria. Howusu, S.X.K (2010b). Complete Dynamical Theories of Physics, Jos University Press limited, Plateau State, Nigeria. Hugh D. Young & Roger A. Freedman (2008). University Physics,Pearson AddisonWesley, New York. Jackson, J.D. (1999). Classical Electrodynamics, John Wiley and Sons, New York. Lumbi, L.W., Uchenna, E.T., Ewa, I.I., Loko, A.Z., Ndkilar, Chifu E. (2018). An extended Study of Motion in the Vicinity of Non Static Spherical Gravitational Potential Fields, Dutse Journal of Pure and Applied Science (DUJOPAS), 4(2): 188-195. Nyambana, G.G. (2015). Fundamental Physical Basis For Maxwell-Heaviside Gravitomagnetism, Journal of Modern Physics, 6; 1207-1219. Oyewumio, K.J., Titiloye, E.O., Alabi, O.A & Falaye, B.J (2016). Bound States of Pseudo-Harmonic Oscillator in the Presence of Magnetic Field, Journal of the Nigerian MathematicalSociety, 35;460-467. Stewart, A.M. (2003). Vector Potential of The Coulomb Gauge, European Journal of Physic, 24;519-524.en_US
dc.identifier.urihttps://keffi.nsuk.edu.ng/handle/20.500.14448/6008
dc.language.isoenen_US
dc.publisherDepartment of Physics, Nasarawa State University Keffien_US
dc.subjectGravitomagnetism, Coupling, Scalar Potential, Vector potential, Riemann’s Laplacian Operatoren_US
dc.titleGravitomagnetic Coupling in a Weak Field Approximationen_US
dc.typeArticleen_US

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