Spacetime Brout-Englert-Higgs effect in General Relativity interacting with p-brane matter

Abstract

We review the manifestation of the Brout-Englert-Higgs effect in general relativity interacting with point-like and extended objects (p-branes including string for p=1 and membrane for p=2), which manifests itself in the appearance of the brane source in the Einstein equation while the graviton remains massless (hep-th/0112207, hep-th/0507197 and refs therein), and discuss briefly its relation and differences with the model for massive spin 2 field proposed recently by G. t'Hooft in [arXiv:0708.3184 [hep-th]].

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