Semiclassical investigation of a charged relativistic membrane model

Önder, Mehmet; Tucker, Robin

doi:10.1088/0305-4470/21/17/012

Cited by 19 publications

(32 citation statements)

References 3 publications

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“…To this end, we can choose alternative parametrizations for equation (6) (see for example [28] for a detailed variety of embeddings) which requires analogue developments. At this stage, we mention only that depending on the parametrization chosen, the momenta π t and π a acquire a different form but, however, they pleasantly lead to an unaltered form for the energy conservation law (see (20) below). Hereafter, the three possible geometries for the universe will be considered in the successive equations through the parameter k, (k = −1, 0, 1) and the use of the cosmic gauge, N = 1.…”

Section: Inclusion Of Mattermentioning

confidence: 99%

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Modified geodetic brane cosmology

Cordero¹,

Cruz

Molgado

et al. 2012

Class. Quantum Grav.

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We explore the cosmological implications provided by the geodetic brane gravity action corrected by an extrinsic curvature brane term, describing a codimension-1 brane embedded in a 5D fixed Minkowski spacetime. In the geodetic brane gravity action we accommodate the correction term through a linear term in the extrinsic curvature swept out by the brane. We study the resulting geodetictype equation of motion. Within a Friedmann-Robertson-Walker metric, we obtain a generalized Friedmann equation describing the associated cosmological evolution. We observe that, when the radiation-like energy contribution from the extra dimension is vanishing, this effective model leads to a self-(non-self)-accelerated expansion of the brane-like universe in dependence on the nature of the concomitant parameter β associated with the correction, which resembles an analogous behaviour in the DGP brane cosmology. Several possibilities in the description for the cosmic evolution of this model are embodied and characterized by the involved density parameters related in turn to the cosmological constant, the geometry characterizing the model, the introduced β parameter as well as the dark like-energy and the matter content on the brane.

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Section: Inclusion Of Mattermentioning

confidence: 99%

“…Now, by defining X :=ṫ/[a(Λ +ρ) 1/2 ] = (ȧ 2 + k) 1/2 /[a(Λ +ρ) 1/2 ] we are able to rewrite the energy equation (20) as X 3 + 3 β * X 2 − X + 2 E * a −4 = 0 where we have introduced the notation, β * (a) =β/(Λ +ρ)…”

Section: Friedmann Type Equationmentioning

confidence: 99%

Modified geodetic brane cosmology

Cordero¹,

Cruz

Molgado

et al. 2012

Class. Quantum Grav.

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“…We have absorbed a global constant in (5) and (6) in order to avoid the density character of the momenta and we have defined the quantity N = √ṫ 2 −ȧ 2 , where the dot stands for derivation with respect to τ. The three possible geometries for the Universe will be consider in the successive equations through the parameter k, (k = −1, 0, 1) and the use of the cosmic gauge, N = 1.…”

Section: Modified Geodetic Branelike Cosmologymentioning

confidence: 99%

“…This correction term was also considered in the bending and shape determination of phospholipid membranes [5]. In the relativistic context, these kind of terms appear in the improvement for the earlier attempt by Dirac to depict the electron as a bubble [6,7], or in a general expansion for a local action describing extended objects embedded in a codimension one bulk spacetime taking into account the widht [8]. More recently, it has been discovered that this geometrical term belongs to a finite set of effective 4−dimensional field theories known as Galileons pursuing possible applications to particle physics and cosmology [9,10,11].…”

Section: Introductionmentioning

confidence: 99%

Some cosmological results from modified geodetic brane gravity

Cruz¹

2012

AIP Conference Proceedings

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We explore some cosmological results provided by an effective geometrical action describing a codimension-one brane embedded in a 5D fixed Minkowski spacetime. We are dealing with an action known as geodetic brane gravity action, but in this case we are adding to this action a term which depends linearly on the extrinsic curvature of the worldvolume. We study the resulting geodetic type equation of motion. Within a Friedmann-Robertson-Walker framework, we obtain a generalized Friedmann equation describing the associated cosmological evolution.

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“…Long time ago, this framework has been considered by Chen to accomodate a non-vanishing mean curvature in the study of hypersurfaces in differential geometry [3]. In a physical context, in the improvement of Dirac to draw the electron as a bubble, the proposal of include the mean curvature to the Dirac's electron came in by Onder and Tucker [4,5]. Thus, this type of correction fits accordingly in the brane cosmological context when we consider our Universe as a hypersurface floating in a 5-dimensional Minkowski spacetime.…”

Section: Introductionmentioning

confidence: 99%