Collinear solution to the three-body problem under a scalar-tensor gravity

被引:15
作者
Zhou, Tian-Yi
Cao, Wei-Guang
Xie, Yi [1 ]
机构
[1] Nanjing Univ, Sch Astron & Space Sci, Nanjing 210093, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
GRAVITATIONAL-RADIATION; GENERAL-RELATIVITY; COMPACT BINARIES; ROTATION; MOTION; SUPERNOVAE; PRINCIPLE; EQUATIONS; SYSTEMS; BODIES;
D O I
10.1103/PhysRevD.93.064065
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The three-body problem in the framework of a scalar-tensor theory of gravitation is considered. We find that the collinear solution to this problem exists in the presence of the scalar field. Through some numerical examples, we investigate the effects of the scalar field on this solution, the angular velocity of the system and the positions of Lagrange points. We find that while the scalar field's effects on the Lagrange points of the planets in the Solar System are practically beyond the limits of the current technology, a compact binary with comparable masses will be a good test bed.
引用
收藏
页数:8
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共 68 条
  • [1] Gravitational radiation from compact binary systems in the massive Brans-Dicke theory of gravity
    Alsing, Justin
    Berti, Emanuele
    Will, Clifford M.
    Zaglauer, Helmut
    [J]. PHYSICAL REVIEW D, 2012, 85 (06):
  • [2] [Anonymous], THEORY EXPT GRAVITAT
  • [3] [Anonymous], 2007, The Scalar-Tensor Theory of Gravitation
  • [4] Gravitational wave forms for a three-body system in Lagrange's orbit: Parameter determinations and a binary source test
    Asada, Hideki
    [J]. PHYSICAL REVIEW D, 2009, 80 (06):
  • [5] Earth-moon Lagrangian points as a test bed for general relativity and effective field theories of gravity
    Battista, Emmanuele
    Dell'Agnello, Simone
    Esposito, Giampiero
    Di Fiore, Luciano
    Simo, Jules
    Grado, Aniello
    [J]. PHYSICAL REVIEW D, 2015, 92 (06)
  • [6] Quantum effects on Lagrangian points and displaced periodic orbits in the Earth-Moon system
    Battista, Emmanuele
    Dell'Agnello, Simone
    Esposito, Giampiero
    Simo, Jules
    [J]. PHYSICAL REVIEW D, 2015, 91 (08)
  • [7] Full three-body problem in effective-field-theory models of gravity
    Battista, Emmanuele
    Esposito, Giampiero
    [J]. PHYSICAL REVIEW D, 2014, 90 (08):
  • [8] Restricted three-body problem in effective-field-theory models of gravity
    Battista, Emmanuele
    Esposito, Giampiero
    [J]. PHYSICAL REVIEW D, 2014, 89 (08):
  • [9] Bergmann P. G., 1968, Int. J. Theor. Phys., V1, P25, DOI DOI 10.1007/BF00668828
  • [10] Testing general relativity with present and future astrophysical observations
    Berti, Emanuele
    Barausse, Enrico
    Cardoso, Vitor
    Gualtieri, Leonardo
    Pani, Paolo
    Sperhake, Ulrich
    Stein, Leo C.
    Wex, Norbert
    Yagi, Kent
    Baker, Tessa
    Burgess, C. P.
    Coelho, Flavio S.
    Doneva, Daniela
    De Felice, Antonio
    Ferreira, Pedro G.
    Freire, Paulo C. C.
    Healy, James
    Herdeiro, Carlos
    Horbatsch, Michael
    Kleihaus, Burkhard
    Klein, Antoine
    Kokkotas, Kostas
    Kunz, Jutta
    Laguna, Pablo
    Lang, Ryan N.
    Li, Tjonnie G. F.
    Littenberg, Tyson
    Matas, Andrew
    Mirshekari, Saeed
    Okawa, Hirotada
    Radu, Eugen
    O'Shaughnessy, Richard
    Sathyaprakash, Bangalore S.
    Van den Broeck, Chris
    Winther, Hans A.
    Witek, Helvi
    Aghili, Mir Emad
    Alsing, Justin
    Bolen, Brett
    Bombelli, Luca
    Caudill, Sarah
    Chen, Liang
    Degollado, Juan Carlos
    Fujita, Ryuichi
    Gao, Caixia
    Gerosa, Davide
    Kamali, Saeed
    Silva, Hector O.
    Rosa, Joao G.
    Sadeghian, Laleh
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (24)