Carrollian limit of quadratic gravity
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2023-12-15
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en
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13
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Physical Review D, Volume 108, issue 12, pp. 1-13
Abstract
We study the Carrollian limit of the (general) quadratic gravity in four dimensions. We find that in order for the Carrollian theory to be a modification of the Carrollian limit of general relativity, the parameters in the action must depend on the speed of light in a specific way. By focusing on the leading and the next-to-leading orders in the Carrollian expansion, we show that there are four such nonequivalent Carrollian theories. Imposing conditions to remove tachyons (from the linearized theory), we end up with a classification of Carrollian theories according to the leading-order and next-to-leading-order actions. All modify the Carrollian limit of general relativity with quartic terms of the extrinsic curvature. To the leading order, we show that two theories are equivalent to general relativity, one to R+R2 theory and one to the general quadratic gravity. To the next-to-leading order, two are equivalent to R+R2 while the other two are equivalent to the general quadratic gravity. We study the two theories that are equivalent to R+R2 to the leading order and write their magnetic limit actions.Description
Funding Information: The authors thank Eric Bergshoeff (Groningen, Netherlands), Pavel Krtouš, David Kubizňák (Prague, Czech Republic), and Marc Henneaux (Brussels, Belgium) for stimulating discussions. P. T. and I. K. were supported by Primus Grant PRIMUS/23/SCI/005 from Charles University. Publisher Copyright: © 2023 American Physical Society.
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Tadros, P & Kolář, I 2023, ' Carrollian limit of quadratic gravity ', Physical Review D, vol. 108, no. 12, 124051, pp. 1-13 . https://doi.org/10.1103/PhysRevD.108.124051