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Title: Embedding Gauss–Bonnet scalarization models in higher dimensional topological theories
Author: Herdeiro, Carlos
Radu, Eugen
Tchrakian, D. H.
Keywords: Black holes
Higgs–Chern–Simons gravity
Issue Date: 2-Apr-2021
Publisher: MDPI
Abstract: In the presence of appropriate non-minimal couplings between a scalar field and the curvature squared Gauss–Bonnet (GB) term, compact objects such as neutron stars and black holes (BHs) can spontaneously scalarize, becoming a preferred vacuum. Such strong gravity phase transitions have attracted considerable attention recently. The non-minimal coupling functions that allow this mechanism are, however, always postulated ad hoc. Here, we point out that families of such functions naturally emerge in the context of Higgs–Chern–Simons gravity models, which are found as dimensionally descents of higher dimensional, purely topological, Chern–Pontryagin non-Abelian densities. As a proof of concept, we study spherically symmetric scalarized BH solutions in a particular Einstein-GB-scalar field model, whose coupling is obtained from this construction, pointing out novel features and caveats thereof. The possibility of vectorization is also discussed, since this construction also originates vector fields non-minimally coupled to the GB invariant.
Peer review: yes
DOI: 10.3390/sym13040590
Appears in Collections:CIDMA - Artigos
DMat - Artigos
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