×
Denisov, V. I.; Logunov, A. A.; Mestvirishvili, M. A.

Do extended bodies move along geodesics of Riemannian space-time? (English) Zbl 0476.53038

Theor. Math. Phys. 47, 281-301 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0476.53038

Cited in 1 Document

MSC:

53C80 Applications of global differential geometry to the sciences
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
70F15 Celestial mechanics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)

Keywords:

post-Newtonian approximation; metric theory of gravitation; inner motion of the fluid; spherical bodies; geodesics

Citations:

Zbl 0465.53045
Cite Review PDF
Full Text: DOI

References:

[1] R. H. Dicke, ?The lecture on gravitation,? in: Proc. of the Intern. School of Physics, Enrico Fermi, New York (1962), pp. 16-29.
[2] K. Nordtvedt Jr, ?Equivalence principle for massive bodies,? Phys. Rev.,169, 1014 (1968). · doi:10.1103/PhysRev.169.1014
[3] C. M. Will, ?Parametrized post-Newtonian hydrodynamics and the Nordtvedt effect,? Astrophys. J.,163, 611 (1971). · doi:10.1086/150804
[4] R. H. Dicke, ?General relativity: survey and experimental test,? in: Gravitation and the Universe, Philadelphia (1969), pp. 19-24.
[5] K. Nordtvedt Jr ?Testing relativity with laser ranging to the moon,? Phys. Rev.170, 1186 (1968). · doi:10.1103/PhysRev.170.1186
[6] K. S. Thorne and C. M. Will, ?High-precision tests of general relativity,? Comments Astrophys. Space Phys.,2, 35 (1970).
[7] K. Nordtvedt Jr ?Post-Newtonian gravitational effects in lunar laser ranging,? Phys. Rev. D,7, 2347 (1973). · doi:10.1103/PhysRevD.7.2347
[8] J. G. Williams et al., ?New test of the equivalence principle from lunar laser ranging,? Phys. Rev. Lett.,36, 551 (1976). · doi:10.1103/PhysRevLett.36.551
[9] I. I. Shapiro, ?Verification of the principle of equivalence for massive bodies,? Phys. Rev. Lett.,36, 555 (1976). · doi:10.1103/PhysRevLett.36.555
[10] R. A. Hulse and J. H. Taylor, ?Discovery of a pulsar in a binary system,? Astrophys. J.,195, L51 (1975). · doi:10.1086/181708
[11] J. H. Taylor, ?Discovery of a pulsar in a binary system,? Ann. N.Y. Acad. Sci.,262, 490 (1975). · doi:10.1111/j.1749-6632.1975.tb31467.x
[12] J. H. Taylor, et al., ?Further observations of the binary pulsar PSR 1913+16,? Astrophys. J.,206, L53 (1976). · doi:10.1086/182131
[13] J. H. Taylor, L. A. Fowler, and P. M. McCulloch, ?Measurements of general relativistic effects in the binary pulsar PSR 1913+16,? Nature (London),277, 437 (1979). · doi:10.1038/277437a0
[14] C. M. Will and K. Nordtvedt Jr, ?Preferred-frame theories and an extended PPN formalism,? Astrophys. J.,177, 757 (1972). · doi:10.1086/151754
[15] V. A. Fock, The Theory of Space, Time and Gravitation, Oxford (1964). · Zbl 0128.20104
[16] S. Chandrasekhar and G. Contopoulos, ?On a post-Galilean transformation appropriate to the post-Newtonian theory of Einstein, Infeld, and Hoffmann,? Proc. R. Soc. London Ser. A,298, 123 (1967). · Zbl 0158.43101 · doi:10.1098/rspa.1967.0095
[17] C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, W. H. Freeman, San Francisco (1973).
[18] V. N. Zharkov, Internal Structure of the Earth and the Planets [in Russian], Nauka, Moscow (1978).
[19] A. A. Logunov et al., ?New notions of space-time and gravitation,? Teor. Mat. Fiz.,40, 291 (1979). A. A. Vlasov, V. I. Denisov, A. A. Logunov, and M. A. Mestvirishvili, ?Gravitational effects in the field theory of gravitation,? Teor. Mat. Fiz.,43, 147 (1980); V. I. Denisov, A. A. Logunov, and M. A. Mestvirishvili, ?The field theory of gravitation and new notions of space-time,? Fiz. Elem. Chastits At. Yadra,12, 3 (1981); V. I. Denisov and A. A. Logunov, ?The field theory of gravitation,? in: Proc. Ninth Intern. Conf. on General Relativity and Gravitation, Jena (1980), pp. 468-469.
[20] C. W. Allen, Astrophysical Quantities, Athlone Press, London (1972).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.