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Generalized Chern-Pontryagin models
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DOI：10.1140/epjc/s10052-024-13607-7.png)
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摘要
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We formulate a new class of modified gravity models, that is, generalized four-dimensional Chern-Pontryagin models, whose action is characterized by an arbitrary function of the Ricci scalar R and theChern-Pontryagin topological term * RR, i.e., f ( R, * RR). Within this framework, we derive the gravitational field equations and solve them for the particular models, f ( R, * RR) = R+ beta(* RR)2 and f ( R, * RR) = R + alpha R2 + beta(* RR)2, considering two ansatzes: the slowly rotating Schwarzschild metric and firstorder perturbations of Godel-type metrics. For the former, we find a first-order correction to the frame-dragging effect boosted by the parameter L, which characterizes the departures from general relativity results. For the latter, Godel-type metrics hold unperturbed, for specific sort of perturbed metric functions. We conclude this paper by displaying that generalized four-dimensional Chern-Pontryagin models admit a scalar-tensor representation, whose explicit form presents two scalar fields: Phi, a dynamical degree of freedom, while the second, theta, a non-dynamical degree of freedom. In particular, the scalar field. emerges coupled with the ChernPontryagin topological term * RR, i.e., theta* RR, which is nothing more than Chern-Simons term.
Keyword:
GODEL-TYPE UNIVERSES
MODIFIED GRAVITY
期刊
IF:
4.8
论文数:
1.8W
被引数:
4.7W
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引用论文
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Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology度量仿射chern-simons引力中的扭转双折射: 晚期宇宙学中的引力波OAAI
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