Thick brane worlds and their stability

Kobayashi, Shinpei; Koyama, K.; Soda, Jiro

doi:10.1103/physrevd.65.064014

Cited by 187 publications

(226 citation statements)

References 45 publications

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“…A massive scalar field in the bulk was first introduced by Goldberger and Wise [10] to stabilize the brane separation in RSI. The RS model with a minimally coupled scalar field in the bulk, referred to as the thick brane model, has been constructed for maximally symmetric solutions on the brane [11]. It has been demonstrated that the bulk scalar potential and the corresponding brane potential can be derived from a superpotential in which case the solution of the static vacuum geometry reduces to a set of first-order BPS-like equations [12].…”

Section: Introductionmentioning

confidence: 99%

Tachyon with an inverse power-law potential in a braneworld cosmology

Bilić

Domazet

Djordjević

2017

Class. Quantum Grav.

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We study a tachyon cosmological model based on the dynamics of a 3-brane in the bulk of the second Randall-Sundrum model extended to more general warp functions. A well known prototype of such a generalization is the bulk with a selfinteracting scalar field. As a consequence of a generalized bulk geometry the cosmology on the observer brane is modified by the scale dependent four-dimensional gravitational constant. In particular we study a power law warp factor which generates an inverse power-law potential V ∝ ϕ −n of the tachyon field ϕ. We find a critical power n cr that divides two subclasses with distinct asymptotic behaviors: a dust universe for n > n cr and a quasi de Sitter universe for 0 < n < n cr .

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Section: Introductionmentioning

confidence: 99%

Tachyon with an inverse power-law potential in a braneworld cosmology

Bilić

Domazet

Djordjević

2017

Class. Quantum Grav.

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“…In the same way, one can expect that quantum bulk gravity may be important in the realization of warped compactification within the AdS/CFT scheme or in improving the Randall-Sundrum scenario. As a toy model for quantum bulk gravity one can consider a quantum bulk scalar [9][10][11][12].…”

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confidence: 99%

Quantum (in)stability of a brane-world universe at nonzero temperature

et al. 2001

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We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS 5 brane-world at nonzero temperature. The thermodynamic energy (modulus potential) is evaluated at low and high temperatures. This potential has an extremum which could be a minimum in some cases (for example, for a single fermion). That suggests a new dynamical mechanism to stabilize the thermal AdS 5 brane-world. It is shown that the brane separation * Electronic address: iver.h.brevik@mtf.ntnu.no † Electronic address: milton@mail.nhn.ou.edu ‡ Electronic address: nojiri@cc.nda.ac.jp § On leave from Tomsk State Pedagogical University, 634041 Tomsk, RUSSIA. Electronic address: odintsov@ifug5.ugto.mx 1 required to solve the hierarchy scale problem may occur at a quite low temperature. A natural generalization in terms of the AdS/CFT correspondence (through the supergravity thermal contribution) is also possible.98.80. Hw,04.50.+h,11

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“…There are a number of well known exact solutions which belong to this class of models (e.g. [8,12,17,24,25,26,27,28]). We investigated stability of some of these models under the conformal excitations which are functions of 4-D space-time.…”

Section: Discussionmentioning

confidence: 99%

“…However, it was observed that inclusion of matter can stabilize radions for different types of branes. It can be done with the help of bulk scalar field [9], [15]- [17], perfect fluid on branes [18] and the Casimir effect between branes [19,20].…”

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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Thick brane worlds and their stability

Cited by 187 publications

References 45 publications

Tachyon with an inverse power-law potential in a braneworld cosmology

Tachyon with an inverse power-law potential in a braneworld cosmology

Quantum (in)stability of a brane-world universe at nonzero temperature

Comments on conformal stability of brane-world models

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