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Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action

7 Pith papers cite this work. Polarity classification is still indexing.

7 Pith papers citing it
abstract

Barbero recently suggested a modification of Ashtekar's choice of canonical variables for general relativity. Although leading to a more complicated Hamiltonian constraint this modified version, in which the configuration variable still is a connection, has the advantage of being real. In this article we derive Barbero's Hamiltonian formulation from an action, which can be considered as a generalization of the ordinary Hilbert-Palatini action.

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UNVERDICTED 7

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representative citing papers

Quasi-pole inflation in metric-affine gravity

gr-qc · 2025-12-18 · unverdicted · novelty 6.0

Non-minimal coupling of the inflaton to the Holst invariant in metric-affine gravity induces quasi-pole kinetics that generate an exponential plateau potential and Starobinsky-equivalent predictions regardless of the bare potential.

Natural Metric-Affine Inflation: Reloaded

gr-qc · 2026-05-22 · unverdicted · novelty 5.0

Combining periodic non-minimal couplings to the Nieh-Yan term and Ricci scalar in metric-affine gravity makes natural inflation viable for sub-Planckian periodicity scales.

Einstein-Cartan pseudoscalaron inflation, reheating and nonthermal leptogenesis

astro-ph.CO · 2026-05-10 · unverdicted · novelty 5.0

Einstein-Cartan pseudoscalaron inflation coupled to type-I seesaw neutrinos makes nonthermal leptogenesis a necessary mechanism for the baryon asymmetry, yielding ns ~ 0.97, r ~ 0.004 and nB/s ~ 8.7e-11 for gamma ~ -1/100 and lightest Majorana mass ~ 10^13 GeV.

Covariant quantization of the Einstein-Hilbert theory in first-order form

gr-qc · 2026-04-28 · unverdicted · novelty 5.0 · 2 refs

A covariant quantization of the first-order Einstein-Hilbert theory is constructed via path integral and BV methods, with the connection as auxiliary field, yielding structural identities from Dyson-Schwinger equations and quantum equivalence to the second-order formulation at the effective action l

Charges of supergravity

hep-th · 2026-04-10 · unverdicted · novelty 5.0

In N=1 supergravity as constrained BF theory, the algebra of boundary charges matches the superalgebra with translational charges vanishing on-shell from the super-torsion constraint.

citing papers explorer

Showing 7 of 7 citing papers.

  • Nonrotating and rotating black holes with secondary disformal hair in a ghost-free metric-affine parity-violating scalar-torsion theory gr-qc · 2026-06-23 · unverdicted · none · ref 59 · internal anchor

    Exact Schwarzschild and Kerr geometries in a disformally related frame yield secondary disformal scalar hair on black holes in a projectively invariant scalar-torsion theory.

  • Quasi-pole inflation in metric-affine gravity gr-qc · 2025-12-18 · unverdicted · none · ref 45 · internal anchor

    Non-minimal coupling of the inflaton to the Holst invariant in metric-affine gravity induces quasi-pole kinetics that generate an exponential plateau potential and Starobinsky-equivalent predictions regardless of the bare potential.

  • Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves gr-qc · 2024-03-10 · unverdicted · none · ref 12 · internal anchor

    γ-duality in the EPRL spinfoam model determines the relation between parity-even and parity-odd terms in an effective gravity theory, allowing the Barbero-Immirzi parameter to be measured from inflationary tensor observables.

  • Natural Metric-Affine Inflation: Reloaded gr-qc · 2026-05-22 · unverdicted · none · ref 68 · internal anchor

    Combining periodic non-minimal couplings to the Nieh-Yan term and Ricci scalar in metric-affine gravity makes natural inflation viable for sub-Planckian periodicity scales.

  • Einstein-Cartan pseudoscalaron inflation, reheating and nonthermal leptogenesis astro-ph.CO · 2026-05-10 · unverdicted · none · ref 120

    Einstein-Cartan pseudoscalaron inflation coupled to type-I seesaw neutrinos makes nonthermal leptogenesis a necessary mechanism for the baryon asymmetry, yielding ns ~ 0.97, r ~ 0.004 and nB/s ~ 8.7e-11 for gamma ~ -1/100 and lightest Majorana mass ~ 10^13 GeV.

  • Covariant quantization of the Einstein-Hilbert theory in first-order form gr-qc · 2026-04-28 · unverdicted · none · ref 40 · 2 links

    A covariant quantization of the first-order Einstein-Hilbert theory is constructed via path integral and BV methods, with the connection as auxiliary field, yielding structural identities from Dyson-Schwinger equations and quantum equivalence to the second-order formulation at the effective action l

  • Charges of supergravity hep-th · 2026-04-10 · unverdicted · none · ref 5

    In N=1 supergravity as constrained BF theory, the algebra of boundary charges matches the superalgebra with translational charges vanishing on-shell from the super-torsion constraint.