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New canonical analysis for consistent extension of λR gravity

2024/09/18 by Alberto Escalante, Escalante, Alberto, P. Fernando Ocaña García +1
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2409.11698

openalex publication_date 2024/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The canonical analysis of the λR model extended with the term due to Blas, Pujolas, and Sibiryakov [BPS] is performed. The analysis is developed for any value of λ, but particular attention is paid to the point λ=(1)/(3) because of the closeness with linearized General Relativity [GR]. Then, we add the higher-order conformal term, the so-called Cotton-square term, to study the constraint structure of what constitutes an example of kinetic-conformal Horava's gravity. At the conformal point, an extra second-class constraint appears; this does not arise at other values of λ. Then, the Dirac brackets are constructed, and we will observe that the λR-Cotton-square model shares the same number of degrees of freedom with linearized GR.

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