{getToc} $title={Table of Contents}
Summary
The paper discusses symmetric teleparallel gravity (STG) and its linear perturbations on a Minkowski background, considering scenarios with and without scalar couplings, and provides lower bounds for the number of degrees of freedom associated with each model.
Highlights
- STG theory is a modified gravity theory that lacks diffeomorphism symmetries.
- The paper analyzes linear perturbations of general STG models on a Minkowski background.
- The authors consider both scenarios with and without scalar couplings.
- The paper provides lower bounds for the number of degrees of freedom associated with each model.
- The authors discuss the potential strong coupling problem in STG theory.
- The paper also explores the case where gravitational interactions involve a scalar field.
- The authors calculate the quadratic actions for scalar, vector, and tensor perturbations.
Key Insights
- The STG theory is a modified gravity theory that lacks diffeomorphism symmetries, which complicates the calculation of its degrees of freedom. The authors analyze the linear perturbations of general STG models on a Minkowski background, considering both scenarios with and without scalar couplings.
- The paper provides lower bounds for the number of degrees of freedom associated with each model, which is essential for understanding the behavior of STG theory. The authors also discuss the potential strong coupling problem in STG theory, which may lead to instability issues.
- The authors explore the case where gravitational interactions involve a scalar field, which is a common scenario in modified gravity theories. They calculate the quadratic actions for scalar, vector, and tensor perturbations, which is crucial for understanding the behavior of STG theory in the presence of scalar fields.
- The paper highlights the importance of considering scalar couplings in STG theory, as they can significantly impact the behavior of the theory. The authors show that the scalar coupling term does not influence the tensor and vector perturbations but affects the scalar perturbations.
- The authors demonstrate that the additional scalar field generally only adds one degree of freedom to the original action, which is a crucial insight for understanding the behavior of STG theory.
- The paper emphasizes the need for further research on STG theory, particularly in the context of scalar couplings and the potential strong coupling problem. The authors' findings provide a foundation for future studies on the behavior of STG theory in various scenarios.
- The authors' analysis of the quadratic actions for scalar, vector, and tensor perturbations provides valuable insights into the behavior of STG theory. The paper's findings have significant implications for our understanding of modified gravity theories and their potential applications in cosmology and astrophysics.
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Citation
Zhao, D. (2024). Linear perturbations of symmetric teleparallel gravity on Minkowski background (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.20696