Gravitational Waves in New General Relativity

Abstract

The models of New General Relativity have recently got attention of research community, and there are some works studying their dynamical properties. The formal aspects of this investigation have been mostly restricted to the primary constraints in the Hamiltonian analysis. However, it is by far not enough for counting their degrees of freedom or judging whether they are any good and viable. In this paper we study linearised equations in vacuum around the trivial Minkowski tetrad. By taking the approach of cosmological perturbation theory we show that the numbers of primary constraints are very easily seen without any need of genuine Hamiltonian techniques, and give the full count of linearised degrees of freedom in the weak field limit of each and every version of New General Relativity without matter.

14 pages; minor changes and additions

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Cited by in corpus (7)

• Revisiting Stability in New General Relativity
• Degrees of Freedom in modified Teleparallel Gravity
• Conformal Transformations and Cosmological Perturbations in New General Relativity
• Weak Gravity Limit in Newer General Relativity
• Geometry of teleparallel theories
• Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8
• On black holes in new general relativity