7 papers
Revisiting Coincident GR in Internal STEGR Formulation
Kyosuke Tomonari, Taishi Katsuragawa, Shin'ichi Nojiri
We revisit Coincident General Relativity (CGR) in the gauge approach to gravity based on Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the \textit{internal-spa…
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…
Cosmological Perturbation in New General Relativity: Propagating mode from the violation of local Lorentz invariance
Kyosuke Tomonari, Taishi Katsuragawa, Shin'ichi Nojiri
We investigate the propagating modes of New General Relativity (NGR) in second-order linear perturbations in the Lagrangian density (first-order in field equations). The Dirac-Berg…
Degrees of Freedom of New General Relativity:\\ Type 4, Type 7, and Type 9
Kyosuke Tomonari
We investigate degrees of freedom in New General Relativity. This theory is the three-parameter extension of Teleparallel Equivalent to GR and classified into nine irreducible type…
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…
STEGR in Internal-Space Formulation: Formalisms, Primary Constraints, and Possible Internal Symmetries
Kyosuke Tomonari
We establish the theories of Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the internal-space and investigate possible internal-space symmetries among primary…