천문학회지 (Journal of The Korean Astronomical Society)

  • 제46권3호
  • /
  • Pages.97-102
  • /
  • 2013
  • /
  • 1225-4614(pISSN)
  • /
  • 2288-890X(eISSN)
한국천문학회 (The Korean Astronomical Society)
권호 표지
DOI QR코드

DOI QR Code

THEOREMS ON NULL-PATHS AND REDSHIFT

  • Wanas, M.I. (Astronomy Department, Faculty of Science, Cairo University) ;
  • Morcos, A.B. (Astronomy Department, National Research Institute of Astronomy and Geophysics)
  • 투고 : 2013.02.17
  • 심사 : 2013.05.01
  • 발행 : 2013.06.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In the present work, we prove the validity of two theorems on null-paths in a version of absolute parallelismgeometry. A version of these theorems has been originally established and proved by Kermak, McCrea and Whittaker (KMW) in the context of Riemannian geometry. The importance of such theorems lies in their applications to derive a general formula for the redshift of spectral lines coming from distant objects. The formula derived in the present work can be applied to both cosmological and astrophysical redshifts. It takes into account the shifts resulting from gravitation, different motions of the source of photons, spin of the moving particle (photons) and the direction of the line of sight. It is shown that this formula cannot be derived in the context of Riemannian geometry, but it can be reduced to a formula given by KMW under certain conditions.

키워드

참고문헌

  1. Adler, R., Bazin, M., & Schiffer, M. 1975, Introductionto General Relativity De Rujula, A. 1987, 2nd edn.(New York: McGraw Hill)
  2. Bazanski, S. L. 1977, Dynamics of Relative Motion of Test Particles in General Relativity, Ann. Inst. H. Poincare, A27, 145
  3. Bazanski, S. L. 1989, Hamilton-Jacobi Formalism for Geodesics and Geodesic Deviations, J. Math. Phys., 30, 1018 https://doi.org/10.1063/1.528370
  4. Colella, R., Overhauser, A. W., & Werner, S. A. 1975, Observation of Gravitationally Induced Quantum Interference, Phys. Rev. lett., 34, 1472 https://doi.org/10.1103/PhysRevLett.34.1472
  5. De Rujula, A. 1987, May a Supernova Bang Twice?, Phys. Lett. B, 193, 4, 514
  6. Kermak, W. O., McCrea, W. H., & Whittaker, E. T. 1933, On Properties of Null Geodesics and the Ap­plication to the Theory of Radiation, Proc. Roy. Soc. Edin., 53, 31
  7. Mikhail, F. I., Wanas, M. I., & Morcos, A. B. 2001, Application of Theorems on Null-Geodesics on The Solar Limb E.ect, Astrophys. Space Sci., 280, 223, gr-qc/050513
  8. Overhauser, A. W., & Colella, R. 1974, Experimental Test of Gravitationally Induced Quantum Interfer­ence, Phys. Rev. lett., 33, 1237 https://doi.org/10.1103/PhysRevLett.33.1237
  9. Schramm, D. N., & Truran, J. W. 1990, New Physics from Supernova 1987A, Physics Report, 189, 89 https://doi.org/10.1016/0370-1573(90)90020-3
  10. Wanas, M. I. 1990, Notes on Applications of General Relativity in Free Space, Astron. Nachr., 311, 253 https://doi.org/10.1002/asna.2113110416
  11. Wanas, M. I., Melek, M., & Kahil, M. E. 1995, New Path Equations in Absolute Parallelism Geometry, Astrophys. Space Sci., 228, 273, gr-qc/0207113 https://doi.org/10.1007/BF00984980
  12. Wanas, M. I. 1998, Motion of Spinning Particles in Gravitational Fields, Astrophys. Space Sci., 258, 237, gr-qc/9904019
  13. Wanas, M. I. 2000, Parameterized Absolute Paral­lelism: A Geometry for Physical Applications, Turk. J. Phys., 24, 473, gr-qc/0010099
  14. M. I. WANAS & A. B. MORCOS Wanas, M. I., Melek, M., & Kahil, M. E. 2000,Quan­tum Interference of Thermal Neutrons and Spin-Torsion Interaction, Grav. Cosmology, 6, 319, gr­qc/9812086
  15. Wanas, M.I. 2002, Quantum Consequences of Param­eterizing Geometry, Proc. MG IX., Part B, 1303
  16. Wanas, M. I., Melek, M., & Kahil, M. E. 2002, SN1987A: Temporal Model, Proc. MG IX., Part B, 1100, gr-qc/0404115
  17. Weber, J. 1994, Supernova 1987A Rome Maryland Gravitational Radiation Antenna Observations., Proc.First Edoardo Amaldi Conf. on "Gravitational Wave Experiment", Ed. E. Coccia et al., World Sci­entific, 416
  18. Werner, S. A., Kaiser, H., Arief, M., & Clothier, R. 1988, Neutron Interference Induced by Gravity: New Results and Interpretations, Physica, B151, 22