A cloud-of-strings black hole can be made regular by screening both the mass and string terms with a Hayward-type factor, resulting in a deformed core and modified thermodynamic and quasinormal-mode behavior.
Dark matter and non-Newtonian gravity from General Relativity coupled to a fluid of strings
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abstract
An exact solution of Einstein's field equations for a point mass surrounded by a static, spherically symmetric fluid of strings is presented. The solution is singular at the origin. Near the string cloud limit there is a $1/r$ correction to Newton's force law. It is noted that at large distances and small accelerations, this law coincides with the phenomenological force law invented by Milgrom in order to explain the flat rotation curves of galaxies without introducing dark matter. When interpreted in the context of a cosmological model with a string fluid, the new solution naturally explains why the critical acceleration of Milgrom is of the same order of magnitude as the Hubble parameter.
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Regular fluid of strings black hole with non trivial core and asymptotic structure by gravitational decoupling
A cloud-of-strings black hole can be made regular by screening both the mass and string terms with a Hayward-type factor, resulting in a deformed core and modified thermodynamic and quasinormal-mode behavior.