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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Frontiers of Physics  2009, Vol. 4 Issue (1): 75-93   https://doi.org/10.1007/s11467-009-0008-8
  本期目录
Models of G time variations in diverse dimensions
Models of G time variations in diverse dimensions
Vitaly N. MELNIKOV1,2()
1. Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Str., Moscow 119361, Russia; 2. Institute of Gravitation and Cosmology, People’s Friendship University of Russia, 6 Mikhlukho-Maklaya Str., Moscow 117198, Russia
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Abstract

A review of different cosmological models in diverse dimensions leading to a relatively small time variation in the effective gravitational constant G is presented. Among them: the 4-dimensional (4-D) general scalar-tensor model, the multidimensional vacuum model with two curved Einstein spaces, the multidimensional model with the multicomponent anisotropic “perfect fluid”, the S-brane model with scalar fields and two form fields, etc. It is shown that there exist different possible ways of explaining relatively small time variations of the effective gravitational constant G compatible with present cosmological data (e.g. acceleration): 4-dimensional scalar-tensor theories or multidimensional cosmological models with different matter sources. The experimental bounds on G may be satisfied either in some restricted interval or for all allowed values of the synchronous time variable.

Key wordsmultidimensional cosmological models    scalar-tensor theories    gravitational constant    acceleration of the Universe    dark energy    variations of G
收稿日期: 2008-10-08      出版日期: 2009-03-05
Corresponding Author(s): N. MELNIKOV Vitaly,Email:melnikov@phys.msu.ru, melnikov@vniims.ru   
 引用本文:   
. Models of G time variations in diverse dimensions[J]. Frontiers of Physics, 2009, 4(1): 75-93.
Vitaly N. MELNIKOV. Models of G time variations in diverse dimensions. Front. Phys. , 2009, 4(1): 75-93.
 链接本文:  
https://academic.hep.com.cn/fop/CN/10.1007/s11467-009-0008-8
https://academic.hep.com.cn/fop/CN/Y2009/V4/I1/75
1 K. P. Staniukovich and V. N. Melnikov, Hydrodynamics, Fields and Constants in the Theory of Gravitation, Energoatomizdat, Moscow , 1983 (in Russian); English updated translation of first 5 sections in: V. N. Melnikov, Fields and Constraints in the Theory of Gravitation , CBPFMO-02/02, Rio de Janeiro, 2002
2 V. N. Melnikov, Multidimensional Classical and Quantum Cosmology and Gravitation, Exact Solutions and Variations of Constants , CBPF-NF-051/93, Rio de Janeiro, 1993
3 V. N. Melnikov, in: Cosmology and Gravitation, Edited by M. Novello, Editions Frontiers, Singapore , 1994: 147
4 V. N. Melnikov,Multidimensional Cosmology and Gravitation , CBPF-MO-002/95, Rio de Janeiro, 1995
5 V. N. Melnikov, in: Cosmology and Gravitation II, Edited by M. Novello, Editions Frontiers, Singapore , 1996: 465
6 V. N. Melnikov, Exact Solutions in Multidimensional Gravity and Cosmology III , CBPF-MO-03/02, Rio de Janeiro, 2002: 297
7 S. A. Kononogov, V. N. Melnikov, and V. V. Khrushchov, Izmeritel’naya Tekhnika , 2007, 3: 3
8 S. A. Kononogov, V. N. Melnikov, and V. V. Khrushchov, Izmeritel’naya Tekhnika , 2008, 8: 3
9 S. A. Kononogov, V. N. Melnikov, and V. V. Khrushchov, Izmeritel’naya Tekhnika , 2008, 10: 3
10 V. N. Melnikov, Int. J. Theor. Phys ., 1994, 33: 1569
doi: 10.1007/BF00670698
11 V. de Sabbata, V. N. Melnikov, and P. I. Pronin, Prog. Theor. Phys ., 1992, 88: 623
doi: 10.1143/PTP.88.623
12 V. N. Melnikov, in: Gravitational Measurements, Fundamental Metrology and Constants, Edited by V. de Sabbata and V. N. Melnikov, Kluwer Academic Publ ., Dordtrecht, 1988: 283
13 V. N. Melnikov, Gravity as a key problem of the millennium, in: Proceedings of 2000 NASA/JPL Conference on Fundamental Physics in Microgravity, Solvang, CA, USA, 2000; NASA Document D-21522 , 2001: 4.1-4.17
14 V. N. Melnikov, arXiv: gr-qc/0007067
15 V. N. Melnikov, Gravity and cosmology as key problems of the millennium, in: Albert Einstein Century International Conference, Paris, June 2005, AIP Conf. Proc., NY , 2006861: 109
16 S. A. Kononogov and V. N. Melnikov, Fundamental physical constants, gravitational coupling and space SEE Project, Izmer. Technika , 2005, 6: 3
17 V. N. Melnikov, Problems of Gravitation, Cosmology and Fundamental Constants , in: Physical Interpretation of Relativity Theory, Edited by M. C. Duffy et al., Moscow, BMSTU Publ ., 2007: 17
18 V. N. Melnikov, Grav. Cosmol ., 2007, 13, No. 2(50): 81
19 V. D. Ivashchuk and V. N. Melnikov, Class. Quantum Grav ., 2001, 18: R82; arXiv: hep-th/0110274
20 V. D. Ivashchuk and V. N. Melnikov, Phys. Lett. B , 1997, 403: 23
doi: 10.1016/S0370-2693(97)00482-6
21 V. D. Ivashchuk and V. N. Melnikov, Class. Quantum Grav ., 1997, 14: 3001; arXiv: hep-th/9705036
22 V. D. Ivashchuk and V. N. Melnikov, Class. Quantum Grav ., 1998, 15: 3941
doi: 10.1088/0264-9381/15/12/021
23 V. R. Gavrilov, V. D. Ivashchuk, and V. N. Melnikov, J. Math. Phys ., 1995, 36: 5829; arXiv: gr-qc/9407019
doi: 10.1063/1.531290
24 U. Bleyer, V. D. Ivashchuk, V. N.Melnikov, and A. I. Zhuk, Nucl. Phys. B , 1994, 429: 177
doi: 10.1016/S0550-3213(94)80046-4
25 V. D. Ivashchuk and V. N. Melnikov, Int. J. Mod. Phys. D , 1994, 3(4): 795; arXiv: gr-qc/9403063
doi: 10.1142/S0218271894000897
26 V. D. Ivashchuk and V. N. Melnikov, Grav. Cosmol ., 1995, 1: 133; arXiv: hep-th/9503223
27 V. D. Ivashchuk and V. N. Melnikov, Grav. Cosmol ., 1996, 2, No. 4 (8): 297; arXiv: hep-th/9612089
28 M. A. Grebeniuk, V. D. Ivashchuk, and V. N. Melnikov, Grav. Cosmol., Supplement , 1999, 5: 1
29 V. D. Ivashchuk, V. N. Melnikov, and A. I. Zhuk, Nuovo Cim. B , 1989, 104: 575
doi: 10.1007/BF02726165
30 V. N. Melnikov, in: Problems of Gravitation and Elementary Particle Theories (PGEPT) , 1976, 7: 190 (in Russian)
31 K. A. Bronnikov, V. N. Melnikov, and K. P. Staniukovich, ITP-68-69, Kiev , 1968
32 V. N. Melnikov, Variations of G and SEE Project,in: Proc. Rencontre de Moriond-99: Gravitational Waves and Experimental Gravity, Editions Frontiers , 1999
33 V. N. Melnikov, Int. J. Mod. Phys. A , 2002, 17: 4325
doi: 10.1142/S0217751X0201337X
34 V. N. Melnikov, Integrable Cosmological Models in DD and Variations of Fundamental Constants, in: Proc. VII Asia-Pacific International Conference on Gravitation and Astrophysics , ICGA-7, Edited by J. M. Nester, C. M. Chen, and J. P. Hsu, Singapore: World Scientific, 2006: 53
35 N. A. Zaitsev and V. N. Melnikov, in: Problems of Gravitation Theory and Particles Theory, 10: 131, Moscow, Atomizdat , 1979 (in Russian); English version in Ref. [3]
36 V. D. Ivashchuk and V. N. Melnikov, Nuovo Cimento B , 1988, 102: 131
doi: 10.1007/BF02726562
37 K. A. Bronnikov, V. D. Ivashchuk, and V. N. Melnikov, Nuovo Cimento B , 1988, 102: 209
doi: 10.1007/BF02726568
38 V. N. Melnikov, Gravitation and Cosmology , 2000, 6: 81; arXiv: gr-qc/0007067
39 A. Miyazaki, arXiv: gr-qc/0102003
40 Y. Fujii and K. Maeda, The Scalar-Tensor Theory of Gravitation , Cambridge: Cambridge University Press, 2003
41 J. P. Mbelek and M. Lachieze-Ray, arXiv: gr-qc/0205089
42 R. Hellings, Phys. Rev. Lett ., 1983, 51: 1609
doi: 10.1103/PhysRevLett.51.1609
43 E. V. Pitjeva, in: Dynamics and Astrometryof Natural and Artificial Celestial Bodies , Netherlands: Kluwer Acad. Publ., 1997: 251
44 J. O. Dickey, P. L. Bender, J. E. Faller, X X Newhall, R. L. Ricklefs, J. G. Ries, P. J. Shelus, C. Veillet, A. L. Whipple, J. R. Wiant, J. G. Williams, and C. F. Yoder, Science , 1994, 265: 482
doi: 10.1126/science.265.5171.482
45 K. Nordtvedt, in: Proceedings of the 18th Course of the School on Cosmology and Gravitation: The gravitational Constant. Generalized gravitational theories and experiments, 30 April–10May 2003, Erice, Edited by G. T. Gillies, V. N. Melnikov and V. de Sabbata, Kluwer Acad. Publ ., 2004: 289; arXiv: gr-qc/0301024
46 A. Sanders and W. Deeds, Phys. Rev. D , 1992, 46: 480
doi: 10.1103/PhysRevD.46.489
47 A. J. Sanders, V. N. Melnikov., Class. Quant. Grav ., 2000, 17: 2331
doi: 10.1088/0264-9381/17/12/305
48 V. N. Melnikov and A. Sanders, Ciencia Ergo Sum , 2001, 8: 357
49 K. A. Bronnikov, V. N. Melnikov, and M. Novello, Grav. Cosmol ., 2002, Suppl. II, 8: 18
50 B. Boisseau, G. Esposito-Farese, D. Polarski, and A. A. Starobinsky, Phys. Rev. Lett ., 2000, 85: 2236
doi: 10.1103/PhysRevLett.85.2236
51 V. N. Melnikov and V. D. Ivashchuk, Problems of G and multidimensional models, in: Proc. JGRG11, Edited by J. Koga et al., Waseda Univ., Tokyo , 2002: 405; arXiv: grqc/0208021
52 A. G. Riess ., Astron. J ., 1998, 116: 1009
doi: 10.1086/300499
53 S. Perlmutter ., Astrophys. J ., 1999, 517: 565
doi: 10.1086/307221
54 V. R. Gavrilov, V. D. Ivashchuk, and V. N. Melnikov, Class. Quantum Grav ., 1996, 13, No. 11: 3039
doi: 10.1088/0264-9381/13/11/018
55 Y.-S. Wu and Z. Wang, Phys. Rev. Lett ., 1986, 57: 1978
doi: 10.1103/PhysRevLett.57.1978
56 V. D. Ivashchuk and V. N. Melnikov, J. Math. Phys ., 2000, 41: 6341; arXiv: hep-th/9904077
doi: 10.1063/1.1286671
57 J.-M. Alimi, V. D. Ivashchuk, S. A. Kononogov, and V. N. Melnikov, Grav. Cosmol ., 2006, 12, Nos. 2–3 (46–47): 173; arXiv: gr-qc/0611015
58 V. D. Ivashchuk, S. A. Kononogov, V. N. Melnikov, and M. Novello, Grav. Cosmol ., 2006, 12, No. 4 (48): 273; arXiv:hep-th/0610167
59 V. D. Ivashchuk and V. N. Melnikov, Phys. Lett. A , 1989, 135: 465
doi: 10.1016/0375-9601(89)90296-X
60 V. Baukh and A. Zhuk, Phys. Rev. D , 2006, 73: 104016
doi: 10.1103/PhysRevD.73.104016
61 J.-M. Alimi, V. D. Ivashchuk, and V. N. Melnikov, Grav. Cosmol ., 2007, 13, No. 2 (50): 137; arXiv: 0711.3770
62 V. D. Ivashchuk and V. N. Melnikov, J. Math. Phys ., 1998, 39: 2866; arXiv: hep-th/9708157
doi: 10.1063/1.532427
63 I. S. Goncharenko, V. D. Ivashchuk, and V. N. Melnikov, Grav. Cosmol ., 2007, 13, No. 4 (52): 262; arXiv: mathph/0612079
64 H. Dehnen, V. D. Ivashchuk, S. A. Kononogov and V. N. Melnikov, Grav. Cosmol ., 2005, 11, No. 4 (44): 340; arXiv:gr-qc/0602113
65 V. D. Ivashchuk, S. A. Kononogov, and V. N. Melnikov, Grav. Cosmol ., 2008, 14, No. 3 (55): 235
66 K. A. Bronnikov, S. A. Kononogov, V. N. Melnikov, and S. G. Rubin, Grav. Cosmol ., 2008, 14, No. 3(55): 230
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