On the role of the Parity Violating Hojman--Holst term in Gravity Theories

Fuente: arXiv
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Autore principale: Iosifidis, Damianos
Natura: Preprint
Pubblicazione: 2025
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author Iosifidis, Damianos
author_facet Iosifidis, Damianos
contents We study Parity Violating Gravity Theories whose gravitational Lagrangian is a generic function of the scalar curvature and the parity odd curvature pseudoscalar, commonly known as the Holst (or Hojmann) term. Generalizing some previous results in the literature, we explicitly show that if the Hessian of this function is non-degenerate, the initial non-Riemannian Theory is on-shell equivalent to a metric Scalar-Tensor Theory. The generic form of the kinetic coupling function and the scalar potential of the resulting Theory are explicitly found and reported.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04738
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the role of the Parity Violating Hojman--Holst term in Gravity Theories
Iosifidis, Damianos
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study Parity Violating Gravity Theories whose gravitational Lagrangian is a generic function of the scalar curvature and the parity odd curvature pseudoscalar, commonly known as the Holst (or Hojmann) term. Generalizing some previous results in the literature, we explicitly show that if the Hessian of this function is non-degenerate, the initial non-Riemannian Theory is on-shell equivalent to a metric Scalar-Tensor Theory. The generic form of the kinetic coupling function and the scalar potential of the resulting Theory are explicitly found and reported.
title On the role of the Parity Violating Hojman--Holst term in Gravity Theories
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2506.04738