47 citations · 280 across the 26 of their papers we have counts for
27 papers
FLRW embeddings in , differential geometry and conformal photon propagator
E. Huguet, J. Queva, J. Renaud
This paper introduces differential-geometric methods to study -dimensional locally conformally flat spaces as submanifolds in . We derive explicit formulas rel…
Laplacian and codifferential operators on p-forms in (Anti)-de Sitter spaces: restriction and continuation
E. Huguet, J. Queva, J. Renaud
We derive explicit restriction and continuation formulas between n-dimensional (Anti)-de Sitter spaces and the (n + 1)-dimensional Minkowskian ambient space for the codifferential…
The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of -forms
E. Huguet, J. Queva, J. Renaud
Identities pertaining to the de Rham codifferential in differential geometry are scattered in the literature. This article gathers such formulas involving usual differential op…
Asymptotic states and -matrix operator in de Sitter ambient space formalism
M. V. Takook, J. P. Gazeau, E. Huguet
Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case. Using fiel…
Restriction of Laplace operator on one-forms: from and ambient spaces to embedded (A)dS submanifolds
E. Huguet, J. Queva, J. Renaud
The Laplace-de Rham operator acting on a one-form : , in or spaces is restricted to -dimensional pseudo-spheres. This include…
Cartan approach to Teleparallel Equivalent to General Relativity: a review
E. Huguet, M. Le Delliou, M. Fontanini
In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory…