An effective Hamiltonian for 2D-black-hole physics

Delfrate, D.G.; Devecchi, F. P.; Marchioro, Dáfni F. Z.

doi:10.1209/epl/i2003-00238-x

Cited by 5 publications

(1 citation statement)

References 15 publications

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“…[13][14][15][16][17][18][19]. Moreover, these way to deal with boundary term could be applied into the zero-Hamiltonian problem in 2D gravity [20,21] and into topological field theories [15]. Finally, the approach developed here can extended to its complex counterpart and analyze complex canonical transformations [22].…”

Section: Discussionmentioning

confidence: 99%

Time Boundary Terms and Dirac Constraints

Gallardo¹,

Montesinos²

2012

The Twelfth Marcel Grossmann Meeting

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Time boundary terms usually added to action principles are systematically handled in the framework of Dirac's canonical analysis. The procedure begins with the introduction of the boundary term into the integral Hamiltonian action and then the resulting action is interpreted as a Lagrangian one to which Dirac's method is applied. Once the general theory is developed, the current procedure is implemented and illustrated in various examples which are originally endowed with different types of constraints.

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Section: Discussionmentioning

confidence: 99%

Time Boundary Terms and Dirac Constraints

Gallardo¹,

Montesinos²

2012

The Twelfth Marcel Grossmann Meeting

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Inflationary and dark energy regimes in 2+1 dimensions

et al. 2006

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In this work we investigate the behavior of three-dimensional (3D) cosmological models. The simulation of inflationary and dark-energy-dominated eras are among the possible results in these 3D formulations; taking as starting point the results obtained by Cornish and Frankel. Motivated by those results, we investigate, first, the inflationary case where we consider a two-constituent cosmological fluid: the scalar field represents the hypothetical inflaton which is in gravitational interaction with a matter/radiation contribution. For the description of an old universe, it is possible to simulate its evolution starting with a matter dominated universe that faces a decelerated/accelerated transition due to the presence of the additional constituent (simulated by the scalar field or ruled by an exotic equation of state) that plays the role of dark energy. We obtain, through numerical analysis, the evolution in time of the scale factor, the acceleration, the energy densities, and the hydrostatic pressure of the constituents. The alternative scalar cosmology proposed by Cornish and Frankel is also under investigation in this work. In this case an inflationary model can be constructed when another non-polytropic equation of state (the van der Waals equation) is used to simulate the behavior of an early 3D universe.Comment: Latex file, plus 9 figures. To appear in General Relativity and Gravitatio

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