Thermal Casimir effect for neutrino and electromagnetic fields in the closed Friedmann cosmological model

Bezerra, V. B.; Mostepanenko, V. M.; Mota, Herondy F. Santana; Romero, C.

doi:10.1103/physrevd.84.104025

Cited by 28 publications

(48 citation statements)

References 44 publications

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“…26,27 As it was pointed out in a recent paper, 28 the vacuum energy (8) of the massless scalar field φ(x), calculated considering the Einstein universe with a cosmic string, contains a term proportional to the vacuum energy of the electromagnetic field obtained in the Einstein universe with no cosmic string. As we can see from Eq.…”

Section: -3mentioning

confidence: 96%

“…Nonetheless, it does affect the energy-momentum tensor which has additional contributions due to particle creation and conformal anomaly. 9,17,26,27 The minimally coupled and conformally invariant massless Klein-Gordon equation for the uncharged scalar field φ(x) is given by…”

Section: Casimir Effect In the Einstein Universe With A Cosmic Stringmentioning

confidence: 99%

“…(10) is the already renormalized thermal correction performed by subtracting the contribution of the black body radiation as well as terms of quantum nature. 26,27 It relates the renormalized thermal corrections ∆F of the massless scalar field and to the electromagnetic field, both calculated in the Einstein universe without cosmic string. 26 The expression is given by…”

Section: -3mentioning

confidence: 99%

“…This fact, permits us to use the results obtained previously for the massless scalar field 26 and for the electromagnetic and neutrino fields. 27 The paper is organized as follows. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Remarks on a gravitational analogue of the Casimir effect

Bezerra

Mota

Muniz

2016

Int. J. Mod. Phys. D

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We consider the Casimir effect, by calculating the Casimir energy and its corrections for nonzero temperatures, of a massless scalar field in the spacetime with topology S 3 × R 1 (Einstein universe) containing an idealized cosmic string. The obtained results confirm the role played by the identifications imposed on the quantum field by boundary conditions arising from the topology of the gravitational field under consideration and illustrate a realization of a gravitational analogue of the Casimir effect. In this backgorund, we show that the vacuum energy can be written as a term which corresponds to the vacuum energy of the massless scalar field in the Einstein universe added by another term that formally corresponds to the vacuum energy of the electromagnetic field in the Einstein universe, multiplied by a parameter associated with the presence of the cosmic string, namely, λ = (1/α) − 1, where α is a constant related to the cosmic string tension, Gµ.Int. J. Mod. Phys. D Downloaded from www.worldscientific.com by CAMBRIDGE UNIVERSITY on 06/13/16. For personal use only.

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Section: -3mentioning

confidence: 96%

Section: Casimir Effect In the Einstein Universe With A Cosmic Stringmentioning

confidence: 99%

Section: -3mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Remarks on a gravitational analogue of the Casimir effect

Bezerra

Mota

Muniz

2016

Int. J. Mod. Phys. D

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“…Along this line of research, the total thermal stressenergy tensor of the scalar field was considered [12] in the Einstein cosmological model. The neutrino and electromagnetic fields were also considered in the Einstein and closed Friedmann cosmological models [13], in which cases the total and Casimir free energy and the Casimir contributions to the stress-energy tensor were obtained, as well as their asymptotic behaviours at low and high temperatures.…”

Section: Introductionmentioning

confidence: 99%

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

et al. 2017

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Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework is the Kerr spacetime in the presence of quintessence and massive gravitons. The high and low temperature regimes are especially analyzed in order to distinguish the main contributions. For instance, in the high temperature regime, we show that the force between the plates is repulsive and grows with both the quintessence and the massive gravitons. Regarding the Casimir entropy, our results are in agreement with the Nernst heat theorem and therefore confirm the third law of thermodynamics in the present scenario.

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Casimir Effect in Hemisphere Capped Tubes

Mello

Saharian

2015

Int J Theor Phys

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In this paper we investigate the vacuum densities for a massive scalar field with general curvature coupling in background of a (2+1)-dimensional spacetime corresponding to a cylindrical tube with a hemispherical cap. A complete set of mode functions is constructed and the positive-frequency Wightman function is evaluated for both the cylindrical and hemispherical subspaces. On the base of this, the vacuum expectation values of the field squared and energy-momentum tensor are investigated. The mean field squared and the normal stress are finite on the boundary separating two subspaces, whereas the energy density and the parallel stress diverge as the inverse power of the distance from the boundary. For a conformally coupled field, the vacuum energy density is negative on the cylindrical part of the space. On the hemisphere, it is negative near the top and positive close to the boundary. In the case of minimal coupling the energy density on the cup is negative. On the tube it is positive near the boundary and negative at large distances. Though the geometries of the subspaces are different, the Casimir pressures on the separate sides of the boundary are equal and the net Casimir force vanishes. The results obtained may be applied to capped carbon nanotubes described by an effective field theory in the long-wavelength approximation.

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Thermal Casimir effect for neutrino and electromagnetic fields in the closed Friedmann cosmological model

Cited by 28 publications

References 44 publications

Remarks on a gravitational analogue of the Casimir effect

Remarks on a gravitational analogue of the Casimir effect

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

Casimir Effect in Hemisphere Capped Tubes

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