activity
20042022
most citedCanonical formulation of Poincare BFCG theory and its quantization

12 citations · 37 across the 8 of their papers we have counts for

collaborators

8 papers

gr-qc2022

Categorical generalization of MacDowell Mansouri gravity coupled to Kalb Ramond fields

Miguel A. Oliveira

In this work we generalize the MacDowell-Mansouri theory of gravity using strict 2-groups. To achieve this, we construct the categorical generalization of the ISO(4,1) group, which…

gr-qc2018★ 9 cited

Hamiltonian analysis of the BFCG formulation of General Relativity

Aleksandar Mikovic, Miguel A. Oliveira, Marko Vojinovic

We perform the complete Hamiltonian analysis of the BFCG action for General Relativity. We determine all the constraints of the theory and classify them into the first-class and th…

gr-qc2018★ 1 cited

The Theory and Canonical Quantization of Gravity

Miguel Angelo Oliveira

This is a PhD thesis on a categorical generalization of the model called the theory. The new theory is equivalent to General Relativity at the classical level but, at t…

math-ph2016★ 4 cited

Hamiltonian analysis of the BFCG theory for a strict Lie 2-group

Aleksandar Mikovic, Miguel Angelo Oliveira, Marko Vojinovic

We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all…

gr-qc2015★ 11 cited

Hamiltonian analysis of the BFCG theory for the Poincare 2-group

Aleksandar Mikovic, Miguel A. Oliveira, Marko Vojinovic

We perform the full Hamiltonian analysis of the topological BFCG action based on the Poincare 2-group. The Hamiltonian of the theory is constructed, and the algebra of constraints…

gr-qc2014★ 12 cited

Canonical formulation of Poincare BFCG theory and its quantization

Aleksandar Mikovic, Miguel A. Oliveira

We find the canonical formulation of the Poincare BFCG theory in terms of the spatial 2-connection and its canonically conjugate momenta. We show that the Poincare BFCG action is d…

gr-qc2011

Velocity measurements in General Relativity revisited

Miguel A. Oliveira

In this work we generalize an earlier treatment of the measurements of velocities at the event horizon of a black hole. This is intended as a pedagogical exercise as well as one mo…

cond-mat.str-el2004

Spin-Orbit Coupling in Diamond and Zincblende Heterostructures

Miguel A Oliveira, Angus MacKinnon

Spin splittings in III-V materials and heterostructures are of interest because of potential applications, mainly in spintronic devices. A necessary condition for the existence of…