Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field

Sorge, Francesco

doi:10.1088/1361-6382/abc666

Cited by 11 publications

(12 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth also point out the contribution of the subject concerning the relationship between Casimir effect and traversable wormholes to the raise of new insights with respect to the issue if gravity in fact modifies the vacuum energy (and, vice-versa, if this latter gravitates), at least in weak field regime. This topic is actually object of discussion [9,10] and some proposals concerning observational investigations, as the Archimedes experiment [11].…”

Section: Introductionmentioning

confidence: 99%

Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene

Alencar,

Bezerra,

Muniz

2021

Preprint

View full text Add to dashboard Cite

In this paper we show that wormholes in (2 + 1) dimensions cannot be sourced by Casimir energy. Recently, it has been shown that in (3 + 1) dimensions this is possible by the direct computation of the correct shape and redshift functions. We show that in (2 + 1) dimensions the same is not true since the event horizon is inevitable. We do the analysis for massive and massless fermions, as well as for scalar fields, and find that a possibility to circumvent this trouble is to introduce a cosmological constant, immerse the sheet in (3 + 1) dimensional manifold and apply a perpendicular uniform and weak magnetic field. We finally discuss the possibility of observing the condensed matter analogous of the wormhole in the graphene sheet.

show abstract

Section: Introductionmentioning

confidence: 99%

Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene

Alencar,

Bezerra,

Muniz

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…( 32), and the deflection angle of light becomes Eq. (33). Moreover, we analyzed the special case ω = 3, in which the deflection angle of massive particles with finite distances becomes Eq.…”

Section: Discussionmentioning

confidence: 99%

“…This theme has raised new insights about the issue if gravity effectively modifies the vacuum energy (and, vice-versa, if this latter gravitates), at least in the weak-field regime. This is presently an object of discussion in the literature [33][34][35] and of proposes of observational investigations, as in the Archimedes vacuum weight experiment [36]. Concerning wormholes, the study of Casimir plates in the orbit of wormholes can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Gravitational bending angle with finite distances by Casimir wormholes

Carvalho,

Alencar,

Muniz

2021

Preprint

View full text Add to dashboard Cite

In this paper, we investigate the gravitational bending angle due to the Casimir wormholes, which consider the Casimir energy as the source. Furthermore, some of these Casimir wormholes regard Generalized Uncertainty Principle (GUP) corrections of Casimir energy. We use the Ishihara method for the Jacobi metric, which allows us to study the bending angle of light and massive test particles for finite distances. Beyond the uncorrected Casimir source, we consider many GUP corrections, namely: the Kempf, Mangano and Mann (KMM) model, the Detournay, Gabriel and Spindel (DGS) model, and the so-called type II model for the GUP principle. We also find the deflection angle of light and massive particles when the receiver and the source are far away from the lens. Contents 1 Introduction 1 2 Casimir wormholes with and without GUP corrections -Review 2 3 Gravitational bending angle of massive particles in a static and spherically symmetric background -Review 4 4 Gravitational bending angle of massive particles with correction of finite distances 6 4.

show abstract

“…Moreover, the study of the relationship between the Casimir effect and traversable wormholes can lead to the arising of novel insights with respect to the issue if gravity in fact influences the vacuum energy (and, vice-versa, if this latter gravitates), at least in a weak field regime. This topic is actually object of discussion [13][14][15] as well as of projects for observational investigations, as in the Archimedes experiment [16].…”

Section: Introductionmentioning

confidence: 99%

Casimir wormholes in $$2+1$$ dimensions with applications to the graphene

2021

View full text Add to dashboard Cite

In this paper we show that wormholes in (2+1) dimensions (3-D) cannot be sourced solely by both Casimir energy density and tension, differently from what happens in a 4-D scenario, in which case it has been shown recently, by the direct computation of the exact shape and redshift functions of a wormhole solution, that this is possible. We show that in a 3-D spacetime the same is not true since the arising of at least an event horizon is inevitable. We do the analysis for massive and massless fermions, as well as for scalar fields, considering quasi-periodic boundary conditions and find that a possibility to circumvent such a restriction is to introduce, besides the 3-D Casimir energy density and tension, a cosmological constant, embedding the surface in a 4-D manifold and applying a perpendicular weak magnetic field. This causes an additional tension on it, which contributes to the formation of the wormhole. Finally, we discuss the possibility of producing the condensed matter analogous of this wormhole in a graphene sheet and analyze the electronic transport through it.

show abstract

Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field

Cited by 11 publications

References 66 publications

Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene

Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene

Gravitational bending angle with finite distances by Casimir wormholes

Casimir wormholes in $$2+1$$ dimensions with applications to the graphene

Contact Info

Product

Resources

About