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Time evolution in the presence of gravity

Antonio Pulido·Alfredo Tiemblo·Romualdo Tresguerres
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Abstract

We present a suggestion on the interpretation of canonical time evolution when gravitation is present, based on the nonlinear gauge approach to gravity. Essentially, our proposal consists of an internal-time concept, with the time variable taken from the dynamical fields characteristic of the nonlinear realization of the internal time-translational symmetry. Physical time evolution requires the latter symmetry to be broken. After disregarding other breaking mechanisms, we appeal to the Jordan-Brans-Dicke action, conveniently interpreted, to achieve that goal. We show that nontrivial time evolution follows, the special relativistic limit being recovered in the absence of gravity.

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Antonio Pulido, Alfredo Tiemblo, Romualdo Tresguerres. 2000-09-11. Time evolution in the presence of gravity. https://doi.org/10.1023/a%3A1012288826450

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