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Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations
Quantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of th...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2006
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| Acceso en línea: | https://dx.doi.org/10.1016/j.physletb.2006.10.049 http://cds.cern.ch/record/975852 |
| _version_ | 1780910927541960704 |
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| author | Hamber, Herbert W. Williams, Ruth M. |
| author_facet | Hamber, Herbert W. Williams, Ruth M. |
| author_sort | Hamber, Herbert W. |
| collection | CERN |
| description | Quantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of the solutions that can be obtained. In general the existence of vacuum solutions to the effective field equations restricts the value of the gravitational scaling exponent $\nu^{-1}$ to be a positive integer greater than one. We give further arguments suggesting that in fact only for $\nu^{-1}=3$ consistent solutions seem to exist in four dimensions. |
| id | cern-975852 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2006 |
| record_format | invenio |
| spelling | cern-9758522023-03-14T17:16:53Zdoi:10.1016/j.physletb.2006.10.049http://cds.cern.ch/record/975852engHamber, Herbert W.Williams, Ruth M.Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field EquationsGeneral Relativity and CosmologyQuantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of the solutions that can be obtained. In general the existence of vacuum solutions to the effective field equations restricts the value of the gravitational scaling exponent $\nu^{-1}$ to be a positive integer greater than one. We give further arguments suggesting that in fact only for $\nu^{-1}=3$ consistent solutions seem to exist in four dimensions.Quantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of the solutions that can be obtained. In general the existence of vacuum solutions to the effective field equations restricts the value of the gravitational scaling exponent ν−1 to be a positive integer greater than one. We give further arguments suggesting that in fact only for ν−1=3 consistent solutions seem to exist in four dimensions.Quantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of the solutions that can be obtained. In general the existence of vacuum solutions to the effective field equations restricts the value of the gravitational scaling exponent $\nu^{-1}$ to be a positive integer greater than one. We give further arguments suggesting that in fact only for $\nu^{-1}=3$ consistent solutions seem to exist in four dimensions.gr-qc/0607131CERN-PH-TH-2006-147CERN-PH-TH-2006-147oai:cds.cern.ch:9758522006-07-28 |
| spellingShingle | General Relativity and Cosmology Hamber, Herbert W. Williams, Ruth M. Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title | Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title_full | Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title_fullStr | Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title_full_unstemmed | Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title_short | Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations |
| title_sort | constraints on gravitational scaling dimensions from non-local effective field equations |
| topic | General Relativity and Cosmology |
| url | https://dx.doi.org/10.1016/j.physletb.2006.10.049 http://cds.cern.ch/record/975852 |
| work_keys_str_mv | AT hamberherbertw constraintsongravitationalscalingdimensionsfromnonlocaleffectivefieldequations AT williamsruthm constraintsongravitationalscalingdimensionsfromnonlocaleffectivefieldequations |