32 citations · 45 across the 9 of their papers we have counts for
10 papers
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…
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…
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…
A unified-description of curvature, torsion, and non-metricity of the metric-affine geometry with the Möbius representation
Kyosuke Tomonari
We establish the mathematical fundamentals for a unified description of curvature, torsion, and non-metricity 2-forms in the way extending the so-called Möbius representation of th…
Dirac-Bergmann analysis and Degrees of Freedom of Coincident -gravity
Kyosuke Tomonari, Sebastian Bahamonde
We investigate the propagating degrees of freedom of -gravity in a -dimensional space-time under the imposition of the coincident gauge by performing the Dirac-Bergmann an…
On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifold
Kyosuke Tomonari
A methodology on making the variational principle well-posed in degenerate systems is constructed. In the systems including higher-order time derivative terms being compatible with…
Boundary Conditions for Constraint Systems in Variational Principle
Keisuke Izumi, Keigo Shimada, Kyosuke Tomonari +1
We show the well-posed variational principle in constraint systems. In a naive procedure of the variational principle with constraints, the proper number of boundary conditions doe…