Classical and quantum aspects of brane-world cosmology

Details Classical and quantum aspects of brane-world cosmology Classical and quantum aspects of brane-world cosmology

Oct 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aipc.1396...55c&link_type=abstract

VIII WORKSHOP OF THE GRAVITATION AND MATHEMATICAL PHYSICS DIVISION OF THE MEXICAN PHYSICAL SOCIETY. AIP Conference Proceedings,

Mathematics

Mathematical Physics

Cosmology, Gravity, Space Time Model, Dirac Equation, Quantum Cosmology, Gravitational Aspects Of String Theory, Quantum Field Theory In Curved Spacetime, Relativistic Wave Equations

Scientific paper

We give a brief overview of several models in brane-world cosmology. In particular, we focus on the asymmetric DGP and Regge-Teiltelboim models. We present the associated equations of motion governing the dynamics of the brane and their corresponding Friedmann-like equations. In order to develop the quantum Regge-Teiltelboim type cosmology we construct its Ostrogradski Hamiltonian formalism which naturally leads to the corresponding Wheeler-DeWitt equation. In addition, we comment on possible generalizations for these models including second order derivative geometrical terms.

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