Geometric back-reaction in pre-inflation from relativistic quantum geometry

Arcodía, Marcos R. A.; Bellini, Mauricio

doi:10.1140/epjc/s10052-016-4173-y

Cited by 9 publications

(6 citation statements)

References 25 publications

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“…A few years ago, was introduced an extension of General Relativity in which we use a geometrical displacement from a semi-Riemann manifold to an extended one, in order for describe physical systems in which boundary conditions are physically relevant. In such formalism, back-reaction effects [1][2][3][4][5][6] are described as nonperturbative geometric fluctuations with respect to the background semi-Riemann manifold [7][8][9], in the framework of an extended General Realtivity with boundary terms included. Other approaches on extended manifolds have been considered in the framework of the Weyl connections [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

Bellini

2022

Eur. Phys. J. C

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Using the Gödel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity with nonzero boundary terms, which are described on an extended manifold generated by the connections $$\delta \Gamma ^{\mu }_{\alpha \beta } = b\,U^{\mu }\,g_{\alpha \beta }$$ δ Γ α β μ = b U μ g α β . These terms are given by a flow of velocities with components $$U^{\nu }$$ U ν : $$3\,b^2\,\nabla _{\nu }U^{\nu }=g^{\alpha \beta }\, \delta R_{\alpha \beta } = \lambda \left[ s\left( x^{\alpha }\right) \right] \,g^{\alpha \beta }\, \delta g_{\alpha \beta }$$ 3 b 2 ∇ ν U ν = g α β δ R α β = λ s x α g α β δ g α β in the varied Einstein–Hilbert action. The solutions are valid for an arbitrary equation of state with ordinary matter: $$\Omega =P/(c^2\,\rho ) = \frac{\left( \frac{\omega }{c}\right) ^2-\lambda (s)}{\left( \frac{\omega }{c}\right) ^{2}+\lambda (s)}$$ Ω = P / ( c 2 ρ ) = ω c 2 - λ ( s ) ω c 2 + λ ( s ) .

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Section: Introductionmentioning

confidence: 99%

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

Bellini

2022

Eur. Phys. J. C

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“…In this last framework have been studied several topics. Some of them are inflationary back reaction effects [19], charged and electromagnetic fields [20], geometric back-reaction in pre-inflationary scenarios [21,22] and to study the initial state of the universe [23], among others.…”

Section: Introductionmentioning

confidence: 99%

Quantum thermodynamics in the interior of a Reissner–Nordström black-hole

Musmarra

Bellini

2020

Physics of the Dark Universe

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We study the interior of a Reissner-Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius r * . From the solutions it is obtained that the uncertainty principle is valid for each energy level of space-time, in the form: En r * ,n = /2, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekeinstein-Hawking (BH) temperature: TBH ≤ TN < 2 TBH .

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“…In this last framework have been studied several topics. Some of them are inflationary back reaction effects [15], charged and electromagnetic fields [16], geometric back-reaction in pre-inflationary scenarios [17,18] and to study the initial state of the universe [19], among others. In Sect.…”

Section: Introductionmentioning

confidence: 99%

Quantum thermodynamics in the interior of a Reissner-Nordström black-hole

Musmarra,

Bellini

2020

Preprint

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We study the interior of a Reissner-Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, wich was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for Heun Confluent functions expanded around the effective causal radius r * . From the solutions it is obtained that the uncertainty principle is valid for each energy level of space-time, in the form: En r * ,n = /2.

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Geometric back-reaction in pre-inflation from relativistic quantum geometry

Cited by 9 publications

References 25 publications

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

Quantum thermodynamics in the interior of a Reissner–Nordström black-hole

Quantum thermodynamics in the interior of a Reissner-Nordström black-hole

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