Hamiltonian structure of scalar-tensor theories beyond Horndeski

被引:74
作者
Lin, Chunshan [1 ,2 ]
Mukohyama, Shinji [1 ,2 ]
Namba, Ryo [1 ]
Saitou, Rio [1 ]
机构
[1] Univ Tokyo, Todai Inst Adv Study, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
关键词
modified gravity; gravity; EINSTEIN TENSOR; SPACE;
D O I
10.1088/1475-7516/2014/10/071
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the nature of constraints and the Hamiltonian structure in a scalar-tensor theory of gravity recently proposed by Gleyzes, Langlois, Piazza and Vernizzi (GLPV). For the simple case with A(5) - 0, namely when the canonical momenta conjugate to the spatial metric are linear in the extrinsic curvature, we prove that the number of physical degrees of freedom is three at fully nonlinear level, as claimed by GLPV. Therefore, while this theory extends Horndeski's scalar-tensor gravity theory, it is protected against additional degrees of freedom.
引用
收藏
页数:15
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