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arXiv · 1603.08552

Reduction to first order of the Hamiltonian Constraint of General Relativity

Daniel W. F. Alves
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Abstract

In this work, a method for solving the constraints of general relativity is presented, where first all geometrical objects are written in terms of a set of orthonormal triads and a flat Weitzenbock connection, which depends on the triads and on a flat spin connection. It is shown that the hamiltonian constraint can be reduced from a second order equation to a first order one. Even though the order of the equation is reduced, we do not get any extra equations to solve by this procedure. A conformal decomposition is also presented.

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Daniel W. F. Alves. 2016-03-28. Reduction to first order of the Hamiltonian Constraint of General Relativity. https://arxiv.org/abs/1603.08552

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