Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory

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Hauptverfasser: Dong, Yu-Qi, Liu, Yu-Qiang, Liu, Yu-Xiao
Format: Preprint
Veröffentlicht: 2023
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author Dong, Yu-Qi
Liu, Yu-Qiang
Liu, Yu-Xiao
author_facet Dong, Yu-Qi
Liu, Yu-Qiang
Liu, Yu-Xiao
contents In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity is described by the metric and an additional scalar field). Specifically, we study the polarization modes of gravitational waves in the most general metric theory and general scalar-tensor theory that satisfy the following conditions: (1) Spacetime is four-dimensional; (2) The theory satisfies the principle of least action; (3) The theory is generally covariant; (4) The action describing a free particle is $\int ds$. We find that the polarization modes of gravitational waves in the theory satisfying the above conditions depends on the selection of parameters in the framework, and the theory allows for up to all six polarization modes. Once we have established our framework, the analysis of the polarization modes of gravitational waves in specific theories will depend on determining the corresponding parameters within our framework. In our analysis, we also find that the polarization modes of gravitational waves in the general metric theory and the general scalar-tensor theory that satisfy the conditions also have some interesting universal properties.
format Preprint
id arxiv_https___arxiv_org_abs_2310_11336
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
Dong, Yu-Qi
Liu, Yu-Qiang
Liu, Yu-Xiao
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity is described by the metric and an additional scalar field). Specifically, we study the polarization modes of gravitational waves in the most general metric theory and general scalar-tensor theory that satisfy the following conditions: (1) Spacetime is four-dimensional; (2) The theory satisfies the principle of least action; (3) The theory is generally covariant; (4) The action describing a free particle is $\int ds$. We find that the polarization modes of gravitational waves in the theory satisfying the above conditions depends on the selection of parameters in the framework, and the theory allows for up to all six polarization modes. Once we have established our framework, the analysis of the polarization modes of gravitational waves in specific theories will depend on determining the corresponding parameters within our framework. In our analysis, we also find that the polarization modes of gravitational waves in the general metric theory and the general scalar-tensor theory that satisfy the conditions also have some interesting universal properties.
title Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2310.11336