General covariance violation and the gravitational dark matter. I. Scalar graviton

Abstract

The violation of the general covariance is proposed as a resource of the gravitational dark matter. The minimal violation of the covariance to the unimodular one is associated with the massive scalar graviton as the simplest representative of such a matter. The Lagrangian formalism for the continuous medium, the perfect fluid in particular, in the scalar graviton environment is developed. The implications for cosmology are shortly indicated.

11 pages; minor corrections

References in corpus (3)

• Unimodular relativity and cosmological constant
• A small but nonzero cosmological constant
• Gravity as the affine Goldstone phenomenon and beyond

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