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Sedeonic Equations of Gravitoelectromagnetism
1Institute for Physics of Microstructures RAS, Nizhniy Novgorod, Russia 2Lobachevsky State University of Nizhniy Novgorod, Nizhniy Novgorod, Russia
Institute for Physics of Microstructures RAS, Nizhniy Novgorod, Russia
- 1 1Institute for Physics of Microstructures RAS, Nizhniy Novgorod, Russia 2Lobachevsky State University of Nizhniy Novgorod, Nizhniy Novgorod, Russia
- 2 Institute for Physics of Microstructures RAS, Nizhniy Novgorod, Russia
Journal of Modern Physics·Volume 05 (2014)·Pages 917–927·Published 27 June 2014·DOI10.4236/jmp.2014.510095
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Abstract
In present paper we develop the description of massless fields on the basis of space-time algebra of sixteen-component sedeons. The generalized sedeonic second-order equation for unified gravito-electromagnetic (GE) field describing simultaneously weak gravity and electromagnetism is proposed. The relations for the GE field energy, momentum and Lorentz invariants are derived. The special case of GE field described by first-order sedeonic wave equation is also discussed.
KeywordsGravitoelectromagnetismClifford AlgebraSpace-Time Sedeons
- Maxwell, J.C. (1865) Philosophical Transactions of the Royal Society of London, 155, 459-512. http://dx.doi.org/10.1098/rstl.1865.0008
- Heaviside, O. (1893) The Electrician, 31, 281-282. https://archive.org/stream/electromagnetict01heavrich#page/454/mode/2up
- Majernik, V. (1971) Astrophysics and Space Science, 14, 265-285. http://dx.doi.org/10.1007/BF00653317
- Singh, A. (1981) Lettere Al Nuovo Cimento, 32, 231-234. http://dx.doi.org/10.1007/BF02799188
- Weinberg, S. (1972) Gravitation and Cosmology. John Wiley, New York.
- Landau, L.D. and Lifschitz, E.M. (1987) The Classical Theory of Fields. Pergamon Press, Oxford.
- Misner, C.W., Thorne, K.S. and Wheeler, J.A. (1973) Gravitation. Freeman W.H. and Company, San Francisco.
- Ruggiero, M.L. and Tartaglia, A. (2002) Il Nuovo Cimento B, 117, 743-768.
- Mashhoon, B. (2007) Gravitoelectromagnetism: A Brief Review. In: Iorio, L., Ed., The Measurement of Gravitomagnetism: A Challenging Enterprise, NOVA Science, Hauppauge, New York, 29-39.
- Kaplan, J.D., Nichols, D.A. and Thorne, K.S. (2009) Physical Review D, 80, 124014. http://dx.doi.org/10.1103/PhysRevD.80.124014
- Kopeikin, S.M. (2006) International Journal of Modern Physics D, 15, 305-320. http://dx.doi.org/10.1142/S0218271806007663
- Iorio, L. (2007) Recent Developments in Testing Gravitomagnetism with Satellite Laser Ranging. In: Iorio, L., Ed., The Measurement of Gravitomagnetism: A Challenging Enterprise, NOVA Science, Hauppauge, New York, 103-136.
- Schafer, G. (2009) Space Science Review, 148, 37-52. http://dx.doi.org/10.1007/s11214-009-9537-2
- Majernik, V. (1999) Advances in Applied Clifford Algebras, 9, 119-130. http://dx.doi.org/10.1007/BF03041944
- Imaeda, K. (1976) Il Nuovo Cimento B, 32, 138-162. http://dx.doi.org/10.1007/BF02726749
- Gamba, A. (1998) Il Nuovo Cimento A, 111, 293-302.
- Tolan, T., Ozdas, K. and Tanisli, M. (2006) Il Nuovo Cimento B, 121, 43-55.
- Mironov, V.L. and Mironov, S.V. (2009) Journal of Mathematical Physics, 50, 012901. http://dx.doi.org/10.1063/1.3041499
- Chanyal, B.C., Bisht, P.S. and Negi, O.P.S. (2010) International Journal of Theoretical Physics, 49, 1333-1343. http://dx.doi.org/10.1007/s10773-010-0314-5