Ostrogradski Hamiltonian approach for geodetic brane gravity

Mathematics – Functional Analysis

Scientific paper

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Membrane Theory, Geodesy, Space-Time Configurations, Cosmology, Functional Analysis, String And Brane Phenomenology, Mathematical Geodesy, General Theory, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Observational Cosmology, Functional Analysis

Scientific paper

We present an alternative Hamiltonian description of a branelike universe immersed in a flat background spacetime. This model is named geodetic brane gravity. We set up the Regge-Teitelboim model to describe our Universe where such field theory is originally thought as a second order derivative theory. We refer to an Ostrogradski Hamiltonian formalism to prepare the system to its quantization. This approach comprize the manage of both first- and second-class constraints and the counting of degrees of freedom follows accordingly.

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