Conservation laws in the teleparallel theory with a positive cosmological constant

TL;DR

This paper investigates conservation laws within a teleparallel gravity framework incorporating a positive cosmological constant, focusing on defining conserved charges through improved canonical generators and discussing their physical significance.

Contribution

It extends teleparallel gravity to include de Sitter asymptotics and formulates well-defined conserved charges via improved canonical generators.

Findings

Derived improved canonical generators for asymptotic symmetries.

Defined conserved charges in the teleparallel theory with positive cosmological constant.

Discussed the physical interpretation of these conserved quantities.

Abstract

We study the conservation laws in the teleparallel theory with a positive cosmological constant, an extension of the teleparallel theory possessing solutions with de Sitter asymptotics. Demanding that the canonical generators of the asymptotic symmetry are well defined, we obtain their improved form, which defines the conserved charges of the theory. The physical interpretation of the results is discussed.