Induced Gravity on RS Branes

Kiritsis, Elias; Tetradis, N.; Tomaras, T.N.

doi:10.1088/1126-6708/2002/03/019

Cited by 100 publications

(126 citation statements)

References 35 publications

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“…The presence of the four-dimensional curvature scalar in the gravitational action does not affect the bulk equations. If we define 9) then eq. (2.6) reduces to [15] 11) where C is an integration constant, giving the mass of the bulk black hole.…”

Section: Jhep10(2003)066mentioning

confidence: 99%

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Brane cosmology with curvature corrections

Kofinas

Maartens

Papantonopoulos

2003

J. High Energy Phys.

115

123

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Abstract:We study the cosmology of the Randall-Sundrum brane-world where the Einstein-Hilbert action is modified by curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. The combined effect of these curvature corrections to the action removes the infinite-density big bang singularity, although the curvature can still diverge for some parameter values. A radiation brane undergoes accelerated expansion near the minimal scale factor, for a range of parameters. This acceleration is driven by the geometric effects, without an inflaton field or negative pressures. At late times, conventional cosmology is recovered.

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Section: Jhep10(2003)066mentioning

confidence: 99%

“…The solution is the Friedmann equation of the induced gravity model [4,9,10,11] 19) [The ± sign is independent of that in eq. (2.…”

Section: Jhep10(2003)066mentioning

confidence: 99%

Brane cosmology with curvature corrections

Kofinas

Maartens

Papantonopoulos

2003

J. High Energy Phys.

115

123

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“…In ktt [5] the cosmological brane-bulk energy exchange processes , due to KK gravitons were studied in the simplest RS cosmological evolution supplemented with a four-dimensional (induced) Einstein term on the brane . It was shown that, in agreement with intuition, such processes do not affect the cosmological evolution during 4d eras (H ∼ √ ρ), while they are important in higher-dimensional eras (H ∼ ρ).…”

Section: Introductionmentioning

confidence: 99%

Brane‐bulk energy exchange and cosmological acceleration

Kiritsis

2004

Fortschritte der Physik

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“…This fact can be used for explaining the acceleration of the universe [20]. Newton law with 4d induced gravity in the AdS 5 background is also examined [21,22] bulk with the induced Einstein term is the fact that the coupling constant of the δ-function potential is dependent on energy(or mass) as following:…”

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confidence: 99%

“…If we adjust our conventions with those of Ref. [21], the relation between them is simplŷ Newton potential localized on the brane is generally obtained from the space-time dependent Green function as following [7,19] V ( x) = dtG R (t, x, y = 0; 0, 0, 0)…”

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confidence: 99%

Newton law in brane-world scenario with 4d induced gravity: singular quantum mechanical approach

Park

2003

Physics Letters B

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The original brane-world scenarios are designed to solve the gauge-hierarchy problem, one of the longstanding puzzle in physics, by introducing large extra dimensions [1][2][3] or warped extra dimension [4]. Especially, Randall-Sundrum(RS) scenario may also provide a mechanism for the localization of the gravity on the single positive-tension brane [5]. As a result much attention is paid to understand the higher-order corrections of Newton potential on the brane by employing the various brane-world pictures. Furthermore, these activities may motivate the experimental investigation for the short range gravitational effect [6].For the case of AdS 5 bulk with a flat brane as RS scenario the computation of Newton law carried out in original RS paper [5] is improved by examining the brane-bending effect [7,8] or by computing the one-loop corrections to the gravitational propagator [9]. These improvements introduce a mutiplication factor in the subleading term of Newton potential contributed from Kaluza-Klein excitations. In addition, the linearized gravity fluctuation equation is also treated from the viewpoint of the singular quantum mechanics(SQM) [10,11].In SQM it is well-known that when the potential is too singular, Hamiltonian loses its selfadjoint property, and thus the conservation of the probability met a serious problem. In order to overcome this difficulty we should maintain the self-adjoint property of Hamiltonian by extending its domain of definition appropriately, which is refered to a self-adjoint extension [12,13]. It is known that this mathematical approach is effectively identical with the physically-oriented coupling constant renormalization scheme [14,15]. The method has been applied to the gravitation fluctuation equations of RS single brane and two brane scenarios for the compromise of the gravitational localization with a small cosmological constant [10,11]. It also generates the logarithmic correction in the short range of Newton potentialNewton law with a different setup is also examined. The gravitational potential for the flat brane in dS 5 bulk and for the curved dS brane in dS 5 or AdS 5 bulk are examined [17].For the case of the flat brane in dS 5 bulk the sign of the subleading correction is changed to be negative. The physical implication of this sign change is discussed in Ref. [17] in the context of dS/CFT correspondence [18].2 Another type of the scenario which attracts an attention recently is a brane-world with a 4d induced Einstein term where the brane has its own gravity term ab initio. For the case of the flat bulk in this picture the gravitational potential becomes 4d type 1/r at the short range, i.e. r << λ/2 and 5d type 1/r 2 at the long range, i.e. r >> λ/2, where λ is a ratio of 4d Planck scale with that of 5d: λ ≡ M 2 4 /M 3 5 [19]. This fact can be used for explaining the acceleration of the universe [20]. Newton law with 4d induced gravity in the AdS 5 background is also examined [21,22]. In this case there is an intermediate range of distance

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Induced Gravity on RS Branes

Cited by 100 publications

References 35 publications

Brane cosmology with curvature corrections

Brane cosmology with curvature corrections

Brane‐bulk energy exchange and cosmological acceleration

Newton law in brane-world scenario with 4d induced gravity: singular quantum mechanical approach

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