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In this paper, the effect of Hubble parameter on the propagation of electromagnetic wave in Robertson-McVittie spacetime is discussed by using the post-Newtonian approximation method. To the bending test of light ray, the deflection angle caused by Hubble parameter H0 is calculated to its maximum amendatory term. Besides, the effects of finite distances of light source and receiver (d1 and d2 ) on deflection angle are also considered in this work. To the radar echo delay test, the maximum amendatory term to the formulae, induced by Hubble parameter, is given. The paper focuss on the study of influence of cosmological expansion on the propagation of electromagnetic wave. The work can be checked in the current high-precision gravity experiments in space and provides a theoretical basis for these experiments.
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Keywords:
- Robertson-McVittie spacetime /
- Hubble parameter /
- propagation of electromagnetic wave /
- post-Newtonian approximation method
[1] Danzmann K, Rudiger A 2003 Class. Quantum. Grav. 20 1
[2] Perryman M A C, de Boer K S, Gilmore G, Hg E, Lattanzi M G, Lindegren L, Luri X, Mignard F, Pace O, de Zeeuw P T 2001 Astron. and Astrophys. 369 339
[3] Triebes K J, Gilliam L, Hilby T, Horner S D, Perkins P, Vassar R H, Harris F, Monet D G 2000 Proc. SPIE 4013 482
[4] Ni W T 2002 Int. J. Mod. Phys. D 11 947
[5] Zeng X X,Yang S Zh, Chen D Y 2008 Chin. Phys. B 17 1629
[6] Peng J J, Wu Sh Q 2008 Chin. Phys. B 17 825
[7] Zhu J, Ji P Y 2008 Chin. Phys. B 17 356
[8] Chen J H, Wang Y J 2007 Chin. Phys. 16 3212
[9] Zhao W 2007 Chin. Phys. 16 2894
[10] Lei ZH H, Lan M J, Wang X Y, Li J J 2008 Acta Phys. Sin. 57 7408 (in Chinese) [雷中华、兰明建、汪先友、李建杰 2008 57 7408]
[11] Wu Y B, Dong P, Zhao G M, Deng X M 2005 Acta Phys. Sin. 54 4974 (in Chinese) [吴亚波、董 鹏、赵国明、邓雪梅 2005 54 4974]
[12] Shi B P, Li F Y,Zhang Y 2006 Acta Phys. Sin. 55 5041 (inChinese) [石东平、李芳昱、张 义 2006 55 5041]
[13] Arakida H 2009 New. Astron 14 264
[14] Weinberg S 1980 Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (BeiJing: Science Press)P.208 (in Chinese) [温伯格 1980 引力论和宇宙论:广义相对论的原理和应用(北京:科学出版社)第208页]
[15] Nolan B C 1999 Class. Quant. Grav. 16 1227
[16] Nolan B C 1999 Class. Quant. Grav. 16 3183
[17] Jarenfelt G 1940 Ann. Acad. Soc. Sci. Fennicae. A 45 3
[18] Xu C M, Xu J J, Yang L T, Huang Z H 1984 Fudan Journal 28 228 (in Chinese) [须重明、徐建军、杨兰田、黄振华 1984复旦学报28 228]
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[1] Danzmann K, Rudiger A 2003 Class. Quantum. Grav. 20 1
[2] Perryman M A C, de Boer K S, Gilmore G, Hg E, Lattanzi M G, Lindegren L, Luri X, Mignard F, Pace O, de Zeeuw P T 2001 Astron. and Astrophys. 369 339
[3] Triebes K J, Gilliam L, Hilby T, Horner S D, Perkins P, Vassar R H, Harris F, Monet D G 2000 Proc. SPIE 4013 482
[4] Ni W T 2002 Int. J. Mod. Phys. D 11 947
[5] Zeng X X,Yang S Zh, Chen D Y 2008 Chin. Phys. B 17 1629
[6] Peng J J, Wu Sh Q 2008 Chin. Phys. B 17 825
[7] Zhu J, Ji P Y 2008 Chin. Phys. B 17 356
[8] Chen J H, Wang Y J 2007 Chin. Phys. 16 3212
[9] Zhao W 2007 Chin. Phys. 16 2894
[10] Lei ZH H, Lan M J, Wang X Y, Li J J 2008 Acta Phys. Sin. 57 7408 (in Chinese) [雷中华、兰明建、汪先友、李建杰 2008 57 7408]
[11] Wu Y B, Dong P, Zhao G M, Deng X M 2005 Acta Phys. Sin. 54 4974 (in Chinese) [吴亚波、董 鹏、赵国明、邓雪梅 2005 54 4974]
[12] Shi B P, Li F Y,Zhang Y 2006 Acta Phys. Sin. 55 5041 (inChinese) [石东平、李芳昱、张 义 2006 55 5041]
[13] Arakida H 2009 New. Astron 14 264
[14] Weinberg S 1980 Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (BeiJing: Science Press)P.208 (in Chinese) [温伯格 1980 引力论和宇宙论:广义相对论的原理和应用(北京:科学出版社)第208页]
[15] Nolan B C 1999 Class. Quant. Grav. 16 1227
[16] Nolan B C 1999 Class. Quant. Grav. 16 3183
[17] Jarenfelt G 1940 Ann. Acad. Soc. Sci. Fennicae. A 45 3
[18] Xu C M, Xu J J, Yang L T, Huang Z H 1984 Fudan Journal 28 228 (in Chinese) [须重明、徐建军、杨兰田、黄振华 1984复旦学报28 228]
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