Field-Theoretical Formulation of Regge-Teitelboim Gravity

Abstract

Theory of gravity is considered in the Regge-Teitelboim approach in which the pseudo-Riemannian space is treated as a surface isometrically embedded in an ambient Minkowski space of higher dimension. This approach is formulated in terms of a field theory in which the original pseudo-Rimannian space is defined by the field constant-value surfaces. The symmetry properties of the proposed theory are investigated, and possible structure of the field-theoretical Lagrangian is discussed.

arXiv commentThis version contains some additions in comparison with the journal version: the derivation of the Jacobian was added

References in corpus (2)

• Quantum Gravity: a Progress Report
• Gravity as a field theory in flat space-time

Cited by in corpus (4)

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• Dual models for p-form mimetic gravity and their connection to perfect fluids consisting of (p+1)-branes
• Definitions of energy for the description of gravity as the splitting theory