Weak-field approximation of effective gravitational theory with local Galilean invariance

被引:3
|
作者
Cuzinatto, R. R. [1 ]
Pompeia, P. J. [1 ,2 ,3 ]
de Montigny, M. [1 ,4 ]
Khanna, F. C. [1 ,5 ]
机构
[1] Univ Alberta, Inst Theoret Phys, Edmonton, AB T6G 2J1, Canada
[2] Univ Estadual Paulista, Inst Fis Teor, BR-01405000 Sao Paulo, Brazil
[3] Inst Fomento & Coordenacao Ind, Comando Geral Tecnol Aeroespacial, BR-12228901 Sao Jose Dos Campos, Brazil
[4] Univ Alberta, Edmonton, AB T6C 4G9, Canada
[5] TRIUMF, Vancouver, BC V6T 2A3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Galilean invariance; General relativity; Weak-field approximation; PATH-INTEGRAL QUANTIZATION; MANY-BODY THEORY; NEWTONIAN DYNAMICS; GUIDE; MOND;
D O I
10.1016/j.physletb.2009.08.024
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We examine the weak-field approximation of locally Galilean invariant gravitational theories with general covariance in a (4 + 1)-dimensional Galilean framework. The additional degrees of freedom allow us to obtain Poisson, diffusion, and Schrodinger equations for the fluctuation field. An advantage of this approach over the usual (3 + 1)-dimensional General Relativity is that it allows LIS to choose an ansatz for the fluctuation field that can accommodate the field equations of the Lagrangian approach to MOdified Newtonian Dynamics (MOND) known as AQUAdratic Lagrangian (AQUAL). We investigate a wave solution for the Schrodinger equations. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:98 / 103
页数:6
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