Abraham García - Academia.edu (original) (raw)
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Papers by Abraham García
On the semiduals of local isometry groups in three-dimensional gravity J. Math. Phys. 53, 073510 ... more On the semiduals of local isometry groups in three-dimensional gravity J. Math. Phys. 53, 073510 The coincidence limit of the graviton propagator in de Donder gauge on de Sitter background J. Math. Phys. 53, 022304 Tensor models and 3-ary algebras J. Math. Phys. 52, 103510 4-dimensional spin-foam model with quantum Lorentz group Abstract. We apply the Sáez-Ballester (SB) theory to Bianchi class A models, with a barotropic perfect fluid in a stiff matter epoch. We obtain exact classical solutions à la Hamilton for Bianchi type I, II and VI h=−1 models. We also find exact quantum solutions to all Bianchi Class A models employing a particular ansatz for the wave function of the universe.
The quantum cosmology of the anisotropic Bianchi type I model is used in order to construct a fam... more The quantum cosmology of the anisotropic Bianchi type I model is used in order to construct a family of potentials that are the best suited to model cosmic acceleration within the quintom scenario, with a barotropic fluid as the usual matter content. Quantum exact solutions are obtained in the process.
On the semiduals of local isometry groups in three-dimensional gravity J. Math. Phys. 53, 073510 ... more On the semiduals of local isometry groups in three-dimensional gravity J. Math. Phys. 53, 073510 The coincidence limit of the graviton propagator in de Donder gauge on de Sitter background J. Math. Phys. 53, 022304 Tensor models and 3-ary algebras J. Math. Phys. 52, 103510 4-dimensional spin-foam model with quantum Lorentz group Abstract. We apply the Sáez-Ballester (SB) theory to Bianchi class A models, with a barotropic perfect fluid in a stiff matter epoch. We obtain exact classical solutions à la Hamilton for Bianchi type I, II and VI h=−1 models. We also find exact quantum solutions to all Bianchi Class A models employing a particular ansatz for the wave function of the universe.
The quantum cosmology of the anisotropic Bianchi type I model is used in order to construct a fam... more The quantum cosmology of the anisotropic Bianchi type I model is used in order to construct a family of potentials that are the best suited to model cosmic acceleration within the quintom scenario, with a barotropic fluid as the usual matter content. Quantum exact solutions are obtained in the process.