Gravitational excitons from extra dimensions

Günther, Uwe; Zhuk, Alexander

doi:10.1103/physrevd.56.6391

Cited by 74 publications

(176 citation statements)

References 47 publications

(46 reference statements)

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“…It then follows from the field equations that the SET components, and hence the quantities V and ( ϕ) 2 , decay at large ρ ≈ r quicker than r −(d0+1) . Let us now prove the following no-hair theorem, extending to our system the theorems known in four dimensions [3,4]: (20) for D ≥ 4 , with a positive-definite matrix H KL ( ϕ) and V ( ϕ) ≥ 0 , the only asymptotically flat black hole solution is characterized by V ≡ 0 , ϕ = const and the Tangherlini metric (22), (25) in the whole range h < ρ < ∞ where ρ = h is the event horizon.…”

Section: No-hair Theoremmentioning

confidence: 99%

See 1 more Smart Citation

Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

Бронников

Fadeev

Michtchenko

2003

General Relativity and Gravitation

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Global properties of static, spherically symmetric configurations with scalar fields of sigma-model type with arbitrary potentials are studied in D dimensions, including models where the space-time contains multiple internal factor spaces. The latter are assumed to be Einstein spaces, not necessarily Ricci-flat, and the potential V includes contributions from their curvatures. The following results generalize those known in four dimensions: (A) a nohair theorem on the nonexistence, in case V ≥ 0 , of asymptotically flat black holes with varying scalar fields or moduli fields outside the event horizon; (B) nonexistence of particlelike solutions in field models with V ≥ 0 ; (C) nonexistence of wormhole solutions under very general conditions; (D) a restriction on possible global causal structures (represented by Carter-Penrose diagrams). The list of structures in all models under consideration is the same as is known for vacuum with a cosmological constant in general relativity: Minkowski (or AdS), Schwarzschild, de Sitter and Schwarzschild -de Sitter, and horizons which bound a static region are always simple. The results are applicable to various Kaluza-Klein, supergravity and stringy models with multiple dilaton and moduli fields.

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Section: No-hair Theoremmentioning

confidence: 99%

“…The coefficient of m is chosen in (25) and accordingly in (23) in such a way that at large r in case Λ = 0 , when the space-time is asymptotically flat, a test particle at rest experiences a Newtonian acceleration equal to −GM/r d 0 .…”

Section: No-hair Theoremmentioning

confidence: 99%

Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

Бронников

Fadeev

Michtchenko

2003

General Relativity and Gravitation

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“…We investigated stability of some of these models under the conformal excitations which are functions of 4-D space-time. Such excitations are of special interest because they behave as massive minimal scalar fields in 4-D space-time, for example can be observed as massive scalar particles -gravitational excitons on branes, as it takes place in the Kaluza-Klein approach [1,6].…”

Section: Discussionmentioning

confidence: 99%

“…To be in agreement with observations, internal spaces should be compact, static (or nearly static) and less or order of electro-weak scale (the Fermi length). The stability problem of these models with respect to conformal perturbations of the internal spaces was considered in detail in our paper [1]. It was shown that stability can be achieved with the help of an effective potential of a dimensionally reduced effective 4-D theory.…”

Section: Introductionmentioning

confidence: 99%

Comments on conformal stability of brane-world models

Bouhmadi-López

Zhuk

2002

Phys. Rev. D

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The stability of 5-D brane-world models under conformal perturbations is investigated. The analysis is carried out in the general case and then it is applied to particular solutions. It is shown that models with the Poincaré and the de Sitter branes are unstable because they have negative mass squared of gravexcitons whereas models with the Anti de Sitter branes have positive gravexciton mass squared and are stable. It is also shown that 4-D effective cosmological and gravitational constants on branes as well as gravexciton masses undergo hierarchy: they have different values on different branes. PACS number(s): 04.50.+h, 98.80.Hw

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“…These internal space scalefactor small fluctuations/oscillations have the form of a scalar field (so called gravexciton [20]) with a mass m ψ defined by the curvature of the effective potential (see for detail [20]). Action (2) is defined under the approximation κ 0 ψ < 1 that obviously holds for the…”

mentioning

confidence: 99%

Extra dimensions and Lorentz invariance violation

2007

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We consider effective model where photons interact with scalar field corresponding to conformal excitations of the internal space (geometrical moduli/gravexcitons). We demonstrate that this interaction results in a modified dispersion relation for photons, and consequently, the photon group velocity depends on the energy implying the propagation time delay effect. We suggest to use the experimental bounds of the time delay of gamma ray bursts (GRBs) photons propagation as an additional constrain for the gravexciton parameters.PACS numbers: 04.50.+h, 11.25.Mj, Lorentz invariance (LI) of physical laws is one of the corner stone of modern physics. There is a number of experiments confirming this symmetry at energies we can approach now. For example, on a classical level, the rotation invariance has been tested in Michelson-Morley experiments, and the boost invariance has been tested in Kennedy-Torhndike experiments [1]. Although, up to now, LI is well established experimentally, we cannot say surely that at higher energies it is still valid. Moreover, modern astrophysical and cosmological data (e.g. UHECR, dark matter, dark energy, etc) indicate for a possible LI violation (LV). To resolve these challenges, there are number of attempts to create new physical models, such as M/string theory, Kaluza-Klein models, brane-world models, etc. [1].In this paper we investigate LV test related to photon dispersion measure (PhDM). This test is based on the LV effect of a phenomenological energy-dependent speed of photon [2,3,4,5,6,7,8], for recent studies see Ref.[9] and references therein.The formalism that we use is based on the analogy with electromagnetic waves propagation in a magnetized medium, and extends previous works [8,10,11]. In our model, instead of propagation in a magnetized medium, the electromagnetic waves are propagating in vacuum filled with a scalar field ψ. LV occurs because of an interaction term f(ψ)F 2 where F is an amplitude of the electromagnetic field. Such an interaction might have different origins. In the string theory ψ could be a dilaton field [12,13]. The field ψ could be associated with geometrical moduli. In brane-world models the similar term describes an interaction between the bulk dilaton and the Standard Model fields on the brane [14]. In Ref.[15], such an interaction was obtained in N = 4 * Electronic address: bauch˙vGR@ukr.net † Electronic address: zhuk@paco.net ‡ Electronic address: tinatin@phys.ksu.edu super-gravity in four dimensions. In Kaluza-Klein models the term f(ψ)F 2 has the pure geometrical origin, and it appears in the effective, dimensionally reduced, four dimensional action (see e.g. [16,17]). In particular, in reduced Einstein-Yang-Mills theories, the function f (ψ) coincides (up to a numerical prefactor) with the volume of the internal space. Phenomenological (exactly solvable) models with spherical symmetries were considered in Refs. [18]. To be more specific, we consider the model which is based on the reduced Einstein-Yang-Mills theory [17], where the term ∝ ψF 2 de...

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Gravitational excitons from extra dimensions

Abstract: Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifoldMi (n ≥ 1) are investigated under dimensional reduction to D0 -dimensional effective models. In the Einstein conformal frame, small excitations of the scale factors of the internal spaces near

Cited by 74 publications

References 47 publications

Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

Comments on conformal stability of brane-world models

Extra dimensions and Lorentz invariance violation

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