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Compactifications of conformal gravity

Author
Organization
Abstract
We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g(mu nu) -> omega(2)(x) g(mu nu). As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a scalar compensator with a VEV that spontaneously breaks the conformal invariance and generates the Planck mass. We show that the compactification of extra dimensions in a higher dimensional conformal theory of gravity also yields Einstein gravity in lower dimensions, without the need to introduce the scalar compensator. It is the field associated with the size of the extra dimensions ( the radion) that takes the role of the scalar compensator in 4D. The radion has in this case no physical excitations since they are gauged away in the Einstein frame for the metric. In these models the stabilization of the size of the extra dimensions is therefore automatic.
Keywords
field theories in higher dimensions, Conformal and W symmetry, classical theories of gravity, models of quantum gravity, WEYL GRAVITY, LIGHT DEFLECTION, CLASSIFICATION, CONSTRAINTS, RELATIVITY, INVARIANTS, DISTANCES, LIMIT

Citation

Please use this url to cite or link to this publication:

Chicago
Navarro, Ignacio, and Karel Van Acoleyen. 2005. “Compactifications of Conformal Gravity.” Journal of High Energy Physics (08).
APA
Navarro, I., & Van Acoleyen, K. (2005). Compactifications of conformal gravity. JOURNAL OF HIGH ENERGY PHYSICS, (08).
Vancouver
1.
Navarro I, Van Acoleyen K. Compactifications of conformal gravity. JOURNAL OF HIGH ENERGY PHYSICS. 2005;(08).
MLA
Navarro, Ignacio, and Karel Van Acoleyen. “Compactifications of Conformal Gravity.” JOURNAL OF HIGH ENERGY PHYSICS 08 (2005): n. pag. Print.
@article{7189051,
  abstract     = {We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g(mu nu) -> omega(2)(x) g(mu nu). As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a scalar compensator with a VEV that spontaneously breaks the conformal invariance and generates the Planck mass. We show that the compactification of extra dimensions in a higher dimensional conformal theory of gravity also yields Einstein gravity in lower dimensions, without the need to introduce the scalar compensator. It is the field associated with the size of the extra dimensions ( the radion) that takes the role of the scalar compensator in 4D. The radion has in this case no physical excitations since they are gauged away in the Einstein frame for the metric. In these models the stabilization of the size of the extra dimensions is therefore automatic.},
  articleno    = {19},
  author       = {Navarro, Ignacio and Van Acoleyen, Karel},
  issn         = {1029-8479},
  journal      = {JOURNAL OF HIGH ENERGY PHYSICS},
  keywords     = {field theories in higher dimensions,Conformal and W symmetry,classical theories of gravity,models of quantum gravity,WEYL GRAVITY,LIGHT DEFLECTION,CLASSIFICATION,CONSTRAINTS,RELATIVITY,INVARIANTS,DISTANCES,LIMIT},
  language     = {eng},
  number       = {08},
  pages        = {13},
  title        = {Compactifications of conformal gravity},
  year         = {2005},
}

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