Gravitational Waveforms, Polarizations, Response Functions, and Energy Losses of Triple Systems in Einstein-Aether Theory
PHYSICAL REVIEW D 99, 023010 (2019) Gravitational waveforms, polarizations, response functions, and energy losses of triple systems in Einstein-aether theory Kai Lin,1,2 Xiang Zhao,3,4 Chao Zhang,3,4 Tan Liu,5,6 Bin Wang,7,8 Shaojun Zhang,4 Xing Zhang,5,6 Wen Zhao,5,6 Tao Zhu,4 and Anzhong Wang3,4,* 1Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, Hubei, 430074, China 2Escola de Engenharia de Lorena, Universidade de São Paulo, 12602-810, Lorena, São Paulo, Brazil 3GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316, USA 4Institute for Advanced Physics & Mathematics, Zhejiang University of Technology, Hangzhou 310032, China 5CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, China 6School of Astronomy and Space Science, University of Science and Technology of China, Hefei 230026, China 7Center for Gravitation and Cosmology, Yangzhou University, Yangzhou 225009, China 8School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China (Received 2 November 2018; published 14 January 2019) Gravitationally bound hierarchies containing three or more components are very common in our Universe. In this paper we study the periodic gravitational wave (GW) form, its polarizations, the response function, the Fourier transform, and the energy loss rate of a triple system through three different channels of radiation, the scalar, vector, and tensor modes, in the Einstein-aether theory of gravity. The theory violates locally the Lorentz symmetry, and yet satisfies all the theoretical and observational constraints by properly choosing its four coupling constants ci’s.
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