Locally localized gravity. (English) Zbl 0980.83010
Summary: We study the fluctuation spectrum of linearized gravity around non-fine-tuned branes. We focus on the case of an \(\text{AdS}_4\) brane in \(\text{AdS}_5\). In this case, for small cosmological constant, the warp factor near the brane is essentially that of a Minkowski brane. However, far from the brane, the metric differs substantially. The space includes the \(\text{AdS}_4\) boundary, so it has infinite volume. Nonetheless, for sufficiently small \(\text{AdS}_4\) cosmological constant, there is a bound state graviton in the theory, and four-dimensional gravity is reproduced. However, it is a massive bound state that plays the role of the four-dimensional graviton.
MSC:
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83E30 | String and superstring theories in gravitational theory |
References:
| [1] | DOI: 10.1103/PhysRevLett.83.4690 · Zbl 0946.81074 · doi:10.1103/PhysRevLett.83.4690 |
| [2] | DeWolfe O., Phys. Rev. 62 pp 046008– (2000) |
| [3] | Kaloper N., Phys. Rev. 60 pp 123506– (1999) |
| [4] | Kim H.B., Phys. Rev. 61 pp 064003– (2000) |
| [5] | DOI: 10.1016/S0370-2693(99)01085-0 · Zbl 0994.83047 · doi:10.1016/S0370-2693(99)01085-0 |
| [6] | Girardello L., JEEP 9812 pp 022– (1998) |
| [7] | Giddings S.B., JEEP 0003 pp 023– (2000) |
| [8] | DOI: 10.1016/S0550-3213(00)00271-6 · Zbl 0985.83027 · doi:10.1016/S0550-3213(00)00271-6 |
| [9] | DOI: 10.1016/S0370-2693(00)00516-5 · Zbl 0961.83041 · doi:10.1016/S0370-2693(00)00516-5 |
| [10] | Garriga J., Phys. Rev. 62 pp 043523– (2000) |
| [11] | Aharony O., Phys. Kept 3 pp 183– (2000) |
| [12] | DOI: 10.1016/S0550-3213(98)00444-1 · Zbl 1041.83524 · doi:10.1016/S0550-3213(98)00444-1 |
| [13] | DOI: 10.1103/PhysRevLett.84.5928 · doi:10.1103/PhysRevLett.84.5928 |
| [14] | DOI: 10.1103/PhysRevLett.84.5932 · doi:10.1103/PhysRevLett.84.5932 |
| [15] | DOI: 10.1016/S0370-2693(00)00631-6 · doi:10.1016/S0370-2693(00)00631-6 |
| [16] | Dvali G., Phys. Lett B 4 pp 9– (2000) |
| [17] | DOI: 10.1088/1126-6708/2000/07/056 · Zbl 0959.83055 · doi:10.1088/1126-6708/2000/07/056 |
| [18] | DOI: 10.1016/0550-3213(70)90416-5 · doi:10.1016/0550-3213(70)90416-5 |
| [19] | Zahkarov V., JETP Lett 12 pp 312– (1970) |
| [20] | DOI: 10.1016/0550-3213(87)90691-2 · doi:10.1016/0550-3213(87)90691-2 |
| [21] | DOI: 10.1103/PhysRevD.61.101901 · doi:10.1103/PhysRevD.61.101901 |
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