Linearized gravity in brane backgrounds

By S. Giddings, E. Katz, Lisa Randall. 2000

307 citations recorded by the source corpus.

A treatment of linearized gravity is given in the Randall-Sundrum background. The graviton propagator is found in terms of the scalar propagator, for which an explicit integral expression is provided. This reduces to the four-dimensional propagator at long distances along the brane, and provides estimates of subleading corrections. Asymptotics of the propagator off the brane yields exponential falloff of gravitational fields due to matter on the brane. This implies that black holes bound to the brane have a ``pancake''-like shape in the extra dimension, and indicates validity of a perturbative treatment off the brane. Some connections with the AdS/CFT correspondence are described.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9b7cf2d650fdde95985322e8a7ee6f4d57c0fe1d

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In Astronomy and Astrophysics

1. Kostas Skenderis
2. R. Myers
3. T. Takayanagi
4. E. Kiritsis
5. A. Karch
6. Marika Taylor
7. L. Randall
8. S. Solodukhin

In Nuclear and High Energy Physics

1. Kostas Skenderis
2. R. Myers
3. E. Kiritsis
4. Marika Taylor
5. T. Takayanagi
6. A. Karch
7. V. Hubeny
8. L. Randall

Citations in the corpus

• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence (2000, background): “In this context, the counterterms are re-interpreted as providing the action for the bulk modes localized in the brane [39,23, 19 ].”
• Brane-World Gravity (2004, background): “To see how gravity is localized at low energies, we consider the 5D graviton perturbations of the metric [358, 155, 171, 122], ((5))gAB → ((5))gAB + e−2|y|/l ((5))hAB , ((5))hAy = 0 = ((5))hμ = ((5))h,ν (29)”
• D‐branes in Standard Model building, gravity and cosmology (2003, background): “To find them we must study the small fluctuations around this solution [37, 169, 170, 171].”
• Ricci solitons, Ricci flow and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua (2011, methodology): “In fact the large R behaviour of the stress tensor can be conjectured analytically as follows; in the context of the Randall-Sundrum single braneworld model, the linearised gravitational field created by a point-like source (of mass M = R0/2) has been calculated in [41, 42].”
• High-energy colliders as black hole factories: The End of short distance physics (2001, background): “While some features of such solutions were discussed in [11, 12, 13], we will assume that the only effect of the brane field is to bind the black hole to the brane, and that otherwise the black hole may be treated as an isolated black hole in the extra dimensions; this is the “probe brane approximat”
• A Warped supersymmetric standard model (2000, background): “[33, 12], except that we will extend the previous results to the case of arbitrary bulk fields in the two-brane scenario.”
• Thick domain walls and singular spaces (2000, result): “One reason for thinking so comes from the recent proposal [15] (see also [16, 17 ]) that”
• Locally localized gravity (2000, background): “In the presence of sources on the brane, the ǫ5 gauge transformation leads, as in [10], to a bent brane in the new gauge and to a brane bending contribution to the propagator, proportional to the propagator of a scalar field of mass 4Λ.”
• Rotating black holes at future colliders: Greybody factors for brane fields (2002, methodology): “[27, 28, 29] considering mainly the application of the AdS-CFT correspondence also support this view.”