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2022

Paths to gravitation via the gauging of parameterized field theories

Koivisto, Tomi S, Zlosnik, Tom

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In special-relativistic physics, spacetime is imbued with a fixed, non-dynamical metric tensor.

A path to gravitational theory is to promote this tensor to a genuine dynamical field.
An alternative description of special-relativistic physics involves no fixed geometry but instead the inclusion of scalar fields $X^{I}(x^{\mu})$ which dynamically may take the form of inertial coordinates in spacetime.
This suggests an alternative approach to gravity where the invariance of actions under global Poincar\'{e} transformations of $X^{I}$ is promoted to either a local Poincar\'{e} or local Lorentz symmetry via the introduction of gauge fields.

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