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• W4300498944 abstract "Abstract In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the metric (i.e., terms of the form ∂ 4 g μν , ∂ 3 g μν ∂g αβ , ∂ 2 g μν ∂ 2 g αβ , ∂ 2 g μν ∂g αβ ∂g ρσ or ∂g μν ∂g αβ ∂g ρσ ∂g γδ with coefficients that involve undifferentiated metric components — or terms with less derivatives) is given by the Weyl action S ∼ ∫ d 4 x W αβγδ W αβγδ , in much the same way as the Einstein‐Hilbert action describes the only consistent manner to make a Pauli‐Fierz massless spin‐2 field self‐interact with no more than 2 derivatives. No a priori requirement of invariance under diffeomorphisms is imposed: this follows automatically from consistency. (ii) We then turn to “multi‐Weyl graviton” theories. We show the impossibility to introduce cross‐interactions between the different types of Weyl gravitons if one requests that the action reduces, in the free limit, to a sum of linearized Weyl actions. However, if different free limits are authorized, cross‐couplings become possible. An explicit example is given. We discuss also how the results extend to other spacetime dimensions." @default.
• W4300498944 created "2022-10-03" @default.
• W4300498944 creator A5019965910 @default.
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• W4300498944 date "2001-10-10" @default.
• W4300498944 modified "2023-09-30" @default.
• W4300498944 title "A derivation of Weyl gravity" @default.
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• W4300498944 doi "https://doi.org/10.1002/andp.200151311-1204" @default.
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