Composite higher derivative theory of gravity

We investigate a higher derivative theory that belongs to the class of composite field theories. Starting from the Yang-Mills theory based on the Lorentz group, we express the gauge vector fields in terms of the tetrad decomposition of a space-time metric with a nontrivial coupling constant. The res...

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Bibliographic Details
Main Author: Hans Christian Öttinger
Format: Article
Language:English
Published: American Physical Society 2020-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013190
Description
Summary:We investigate a higher derivative theory that belongs to the class of composite field theories. Starting from the Yang-Mills theory based on the Lorentz group, we express the gauge vector fields in terms of the tetrad decomposition of a space-time metric with a nontrivial coupling constant. The resulting composite gauge theory is a natural candidate for an alternative theory of pure gravity. In the limit of vanishing coupling constant, all classical high-precision tests for theories of gravity are passed. An exact static isotropic solution is found, which is less singular than the Schwarzschild solution of general relativity. Composite field theories come with a natural canonical Hamiltonian formulation and a natural set of constraints, so that they provide an ideal setting for future quantization. Finally, we propose possible couplings of the gravitational field to matter.
ISSN:2643-1564