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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Ruth Gregory

Charmousis, C., Emparan, R. & Gregory, R. (2001). Self-gravity of brane worlds: a new hierarchy twist. Journal of High Energy Physics 2001(05): 026.

Author(s) from Durham


We examine the inclusion of brane self-gravity in brane-world scenarios with three or more compact extra dimensions. If the brane is a thin, localized one, then we find that the geometry in its vicinity is warped in such a way that gravity on the brane can become very weak, independently of the volume of the extra dimensions. As a consequence, self-gravity can make the brane structure enter into the determination of the hierarchy between the Planck scale and a lower fundamental scale. In an extreme case, one can obtain a novel reformulation of the hierarchy problem in brane worlds, without the need for large-size extra dimensions; the hierarchy would be generated when the ratio between the scales of brane tension and brane thickness is large. In a sense, such a scenario is half-way between the one of Arkani-Hamed et al. (ADD) (although with TeV-mass Kaluza-Klein states) and that of Randall and Sundrum (RS1) (but with only a TeV brane, and of positive tension). We discuss in detail the propagation of fields in the background of this geometry, and find that no problems appear even if the brane is taken to be very thin. We also discuss the presence of black branes and black holes in this setting, and the possibility of having a Planck brane.



V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett.
B 125 (1983) 136;
K.Akama, in Gauge theory and gravitation, proceedings of the International Symposium,
Nara, Japan, 1982, K.Kikkawa, N.Nakanishi and H.Nariai eds., Springer-Verlag,
2] N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions
at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315];
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at
a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257




L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension,
Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].


L. Randall and R. Sundrum, An alternative to compacti cation, Phys. Rev. Lett. 83
(1999) 4690 [hep-th/9906064].


A.G. Cohen and D.B. Kaplan, Solving the hierarchy problem with noncompact extra
dimensions, Phys. Lett. B 470 (1999) 52 [hep-th/9910132].


R. Gregory, Nonsingular global string compacti cations, Phys. Rev. Lett. 84 (2000)
2564 [hep-th/9911015].


C.D. Hoyle et al., Sub-millimeter tests of the gravitational inverse-square law: a search
for `large' extra dimensions, Phys. Rev. Lett. 86 (2001) 1418 [hep-ph/0011014].


W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk elds, Phys. Rev.
Lett. 83 (1999) 4922 [hep-ph/9907447].


R. Sundrum, Compacti cation for a three-brane universe, Phys. Rev. D 59 (1999)
085010 [hep-ph/9807348].


I. Olasagasti and A. Vilenkin, Gravity of higher-dimensional global defects, Phys. Rev.
D 62 (2000) 044014 [hep-th/0003300].


T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-
dimensional solutions that localize gravity, Phys. Lett. B 491 (2000) 353




K. Arthur, G.M. O'Brien and D.H. Tchrakian, Towards a Coulomb gas of instantons in
the SO(4)U(1) Higgs model on R4, J. Math. Phys. 38 (1997) 4403 [hep-th/9603047].


R. Gregory, Cosmic p-branes, Nucl. Phys. B 467 (1996) 159 [hep-th/9510202].


G. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D Minkowski
space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016].


G. Dvali and G. Gabadadze, Gravity on a brane in in nite-volume extra space, Phys.
Rev. D 63 (2001) 065007 [hep-th/0008054].


S.-H. Moon, S.-J. Rey and Y.-B. Kim, Global p-brane world: a new approach to stable
mass hierarchy, Nucl. Phys. B 602 (2001) 467 [hep-th/0012165].


R.C. Myers, Stress tensors and Casimir energies in the AdS/CFT correspondence,


A.G. Agnese and M.L. Camera, Gravitation without black holes, Phys. Rev. D 31
(1985) 1280.


D.L. Wiltshire, Dilaton black holes with a cosmological term, J. Austral. Math. Soc.
B41 (1999) 198{216 [gr-qc/9502038].


R. Emparan, Absorption of scalars by extended objects, Nucl. Phys. B 516 (1998) 297




R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev.
Lett. 70 (1993) 2837 [hep-th/9301052].


R. Gregory, Black string instabilities in anti-de Sitter space, Class. Quant. Grav. 17
(2000) L125{L132 [hep-th/0004101].


R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on
branes, J. High Energy Phys. 01 (2000) 007 [hep-th/9911043]; Exact description of
black holes on branes, 2. Comparison with btz black holes and black strings, J. High
Energy Phys. 01 (2000) 021 [hep-th/9912135].


R. Emparan, G.T. Horowitz and R.C. Myers, Black holes radiate mainly on the brane,
Phys. Rev. Lett. 85 (2000) 499 [hep-th/0003118].


C. Charmousis, R. Gregory and V.A. Rubakov, Wave function of the radion in a brane
world, Phys. Rev. D 62 (2000) 067505 [hep-th/9912160].