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19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing gr-qcShow all

18 papers · 1 filter

gr-qc2021

Self-dual cosmological Bianchi IX and VIII metrics

A. Mikovic, N. Manojlovic

We show that self-dual Bianchi IX and VIII cosmological models are described by the Nahm dynamical system for an appropriate type of matrices. We construct the general solutions in…

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-qc2016★ 1 cited

Gravity-Matter Entanglement in Regge Quantum Gravity

Nikola Paunković, Marko Vojinović

We argue that Hartle-Hawking states in the Regge quantum gravity model generically contain non-trivial entanglement between gravity and matter fields. Generic impossibility to talk…

gr-qc2015

Categorical generalization of spinfoam models

Aleksandar Mikovic, Marko Vojinovic

We give a brief review of the problem of quantum gravity. After the discussion of the nonrenormalizability of general relativity, we briefly mention the main research directions wh…

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★ 2 cited

Cosmological Constant in a Quantum Gravity Theory for a Piecewise-linear Spacetime

Aleksandar Mikovic, Marko Vojinovic

We study the quantum contributions to the classical cosmological constant in a quantum gravity theory for GR with matter on a piecewise linear spacetime corresponding to a triangul…

gr-qc2013★ 8 cited

Cosine problem in EPRL/FK spinfoam model

Marko Vojinovic

We calculate the classical limit effective action of the EPRL/FK spinfoam model of quantum gravity coupled to matter fields. By employing the standard QFT background field method a…

gr-qc2013★ 16 cited

Spin-cube Models of Quantum Gravity

A. Mikovic

We study the state-sum models of quantum gravity based on a representation 2-category of the Poincare 2-group. We call them spin-cube models, since they are categorical generalizat…

gr-qc2012★ 2 cited

Planetary motion on an expanding locally anisotropic background

P. Castelo Ferreira

In this work are computed analytical solutions for orbital motion on a background described by an Expanding Locally Anisotropic (ELA) metric ansatz. This metric interpolates betwee…

gr-qc2012★ 5 cited

Constraining an Expanding Locally Anisotropic metric from the Pioneer anomaly

P. Castelo Ferreira

It is discussed the possibility of a fine-tuneable contribution to the two way Doppler acceleration either towards, either outwards the Sun for heliocentric distances above 20 AU b…

gr-qc2012

Noncanonical Phase-Space Noncommutative Black Holes

Catarina Bastos, Orfeu Bertolami, Nuno Dias +1

In this contribution we present a noncanonical phase-space noncommutative (NC) extension of a Kantowski Sachs (KS) cosmological model to describe the interior of a Schwarzschild bl…

gr-qc2011★ 9 cited

Effective action for EPRL/FK spin foam models

Aleksandar Mikovic, Marko Vojinovic

We show that a natural modification of the EPRL/FK vertex amplitude gives a finite spin foam model whose effective action gives the Einstein-Hilbert action in the limit of large sp…

gr-qc2011★ 39 cited

Poincare 2-group and quantum gravity

Aleksandar Mikovic, Marko Vojinovic

We show that General Relativity can be formulated as a constrained topological theory for flat 2-connections associated to the Poincaré 2-group. Matter can be consistently coupled…

gr-qc2011★ 19 cited

Effective action and semiclassical limit of spin foam models

A. Mikovic, M. Vojinovic

We define an effective action for spin foam models of quantum gravity by adapting the background field method from quantum field theory. We show that the Regge action is the leadin…

gr-qc2011★ 9 cited

A finiteness bound for the EPRL/FK spin foam model

Aleksandar Mikovic, Marko Vojinovic

We show that the EPRL/FK spin foam model of quantum gravity has an absolutely convergent partition function if the vertex amplitude is divided by an appropriate power of the pr…

gr-qc2010★ 4 cited

Noncommutative Black Holes

C. Bastos, O. Bertolami, N. C. Dias +1

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potentia…

gr-qc2010

Large-spin asymptotics of Euclidean LQG flat-space wavefunctions

Aleksandar Mikovic, Marko Vojinovic

We analyze the large-spin asymptotics of a class of spin-network wavefunctions of Euclidean Loop Quantum Gravity, which corresponds to a flat spacetime. A wavefunction from this cl…

gr-qc2006★ 5 cited

Invariants of Spin Networks Embedded in Three-Manifolds

João Faria Martins, Aleksandar Mikovic

We study the invariants of spin networks embedded in a three-dimensional manifold which are based on the path integral for SU(2) BF-Theory. These invariants appear naturally in Loo…