2020
DOI: 10.1103/physrevd.101.084021
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Black hole with primary scalar hair in Einstein-Weyl-Maxwell conformal scalar theory

Abstract: We obtain a newly charged BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole solution from the Einstein-Weyl-Maxwell-conformal (conformally coupled) scalar theory with a positive Weyl coupling parameter m 2 2 numerically. This solution has a primary scalar hair, compared to a secondary scalar hair in the charged BBMB black hole solution.The limiting case of m 2 2 → ∞ leads to the series form of the charged BBMB black hole solution. However, for m 2 2 < 0, we could not obtain any asymptotically flat blac… Show more

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Cited by 13 publications
(8 citation statements)
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“…BH solutions within this theory have been obtained by Astorino [289] (see also Refs. [290][291][292][293][294][295][296][297] for BH and black brane solutions within related models), and contain a hair parameter S which is related to the scalar field pro-file (and is directly connected to the value of the scalar field at the horizon). The hair parameter, or scalar charge, emerges as an integration constant and describes primary hair, i.e.…”
Section: Morris-thorne Traversable Wormholementioning
confidence: 99%
“…BH solutions within this theory have been obtained by Astorino [289] (see also Refs. [290][291][292][293][294][295][296][297] for BH and black brane solutions within related models), and contain a hair parameter S which is related to the scalar field pro-file (and is directly connected to the value of the scalar field at the horizon). The hair parameter, or scalar charge, emerges as an integration constant and describes primary hair, i.e.…”
Section: Morris-thorne Traversable Wormholementioning
confidence: 99%
“…However, as noted earlier in [184,185], things simplify considerably on-shell. While T (M) µν is traceless (i.e.…”
Section: Shadows Of Minimally-coupled Charged Black Holes With Scalar...mentioning
confidence: 70%
“…Black hole or black brane solutions in similar models have been studied earlier in e.g. [179][180][181][182][183][184][185]. The gravitational field equations associated to the action in Eq.…”
Section: Shadows Of Minimally-coupled Charged Black Holes With Scalar...mentioning
confidence: 88%
“…The equations that arise in the above process have been thoroughly studied in the Schwarzschild spacetime. However, for example, if one considers a non-vacuum static black hole with hair [31][32][33], the metric would be no longer the Schwarzschild spacetime. Especially, when studying the Effective-One-Body problem to general relativistic two-body dynamics, peoples used the static and spherically symmetric effective metric [34,35].…”
Section: Introductionmentioning
confidence: 99%