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Summary
The Einstein-scalar-Gauss-Bonnet (EsGB) theory is a generalization of General Relativity that includes a scalar field coupled to the quadratic Gauss-Bonnet term. This theory allows for novel black hole solutions, traversable wormholes, and regular particle-like solutions, which are not present in General Relativity.
Highlights
- The EsGB theory evades the no-hair theorems, allowing for black holes with scalar hair.
- The theory admits traversable wormhole solutions without the need for exotic matter.
- Regular particle-like solutions, or "gravitational bubbles," can be found in the EsGB theory.
- The solutions in the EsGB theory can be generalized to the Horndeski theory and beyond.
- Black hole solutions in the EsGB theory can have an (Anti-)de Sitter-Reissner-Nordstrom asymptotic behavior.
- Wormhole solutions in the EsGB theory can be made traversable by applying a cut & paste technique.
- The EsGB theory is a subclass of the Horndeski theory, which is a more general scalar-tensor theory.
Key Insights
- The EsGB theory provides a framework for studying compact objects beyond General Relativity, allowing for novel solutions such as scalarized black holes and traversable wormholes.
- The theory's ability to evade the no-hair theorems is due to the presence of the quadratic Gauss-Bonnet term, which modifies the field equations and allows for more complex solutions.
- The EsGB theory's solutions can be used to study the properties of compact objects, such as their mass, charge, and entropy, and can provide insights into the behavior of matter in extreme environments.
- The generalization of the EsGB theory to the Horndeski theory and beyond allows for even more complex and realistic models of compact objects, including those with non-minimal couplings between the scalar field and gravity.
- The study of compact objects in the EsGB theory and its generalizations can provide insights into the fundamental nature of gravity and the behavior of matter in extreme environments.
- The EsGB theory's solutions can be used to test the predictions of General Relativity and alternative theories of gravity, and can provide a framework for studying the properties of compact objects in a more general context.
- The development of new numerical and analytical techniques is necessary to fully explore the properties of compact objects in the EsGB theory and its generalizations.
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Citation
Kanti, P. (2024). Compact Objects in Einstein-scalar-Gauss-Bonnet Theory and beyond (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.20296