7 papers · 1 filter
Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds
Kyosuke Tomonari, Daniel Blixt, Sebastian Bahamonde
In this paper, we investigate background-hierarchy bounds in Type~3 of New General Relativity (NGR). These bounds arise when the contribution associated with the evolution of the b…
Canonical Vielbeins for General Relativity: D + 1 Decomposition and Constraint Analysis
Joakim Flinckman, Daniel Blixt
We provide a self-contained derivation of the Hamiltonian formulation of General Relativity in vielbein variables in dimensions. Starting from the Einstein--Hilbert action…
Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8
Kyosuke Tomonari, Daniel Blixt
We investigate the degrees of freedom of new general relativity. This theory is a three-parameter theory and is classified into nine irreducible types according to the rotation sym…
Revisiting Stability in New General Relativity
Sebastian Bahamonde, Daniel Blixt, Konstantinos F. Dialektopoulos +1
We study the degrees of freedom in New General Relativity -- flat and metric compatible family of theories -- around the Minkowski background in a gauge invariant manner. First, we…
The Hamilton equations in teleparallel gravity and in New General Relativity
Francesco Bajardi, Daniel Blixt, Salvatore Capozziello
We derive the Hamiltonian function for extended teleparallel theories of gravity in their covariant formulation. In particular, we present the Hamiltonian for gravity and Ne…
Foliation-generating observers under Lorentz transformations
Daniel Blixt, Alejandro Jiménez Cano, Aneta Wojnar
In this work, we revise the concept of foliation and related aspects that are crucial when formulating the Hamiltonian evolution for various theories beyond General Relativity. In…