Structure of anisotropic fuzzy dark matter black holes

Structure of anisotropic fuzzy dark matter black holes

5 June 2024 | S. Khan, A. Adeel, Z. Yousaf
This study explores the structure of anisotropic fuzzy dark matter black holes (DM-BHs) within the framework of Starobinsky gravity. Building on the Einasto dark matter density parameterization, the research investigates the possibility of constructing DM-BHs by considering an anisotropic fluid configuration and a de Sitter-like equation of state (EOS), where ε = -P_r. The resulting BH solution exhibits a similar horizon structure to a Reissner-Nordström BH but replaces the central singularity with a regular de Sitter core through quadratic f(R) corrections. The study also explores the possibility of using a nonlocal EOS to construct a fuzzy DM stellar droplet, although radial pressure remains negative in this case. The findings suggest that moderately massive DM-BHs could exist within galactic structures and potentially act as central objects within galaxies. The Einasto DM profile is shown to be an extension of a Gaussian profile based on non-commutativity, and the de Sitter EOS plays a significant role in characterizing BH solutions. The study also investigates the potential connection between the central SMBH of our galaxy and DM, particularly within the current state of the galaxy. The research highlights the importance of non-commutative geometry in resolving infinities in field theories and its application in modeling spacetime "fuzziness." The study concludes that the Einasto parametrization, with an anisotropic fluid distribution, resolves the central singularity issue, leading to regular, stable fuzzy self-gravitating structures. The findings suggest that these configurations are solutions to the field equations associated with the Starobinsky model of gravity and correspond to regular, stable fuzzy self-gravitating structures. The nature of these astrophysical objects is determined by the presence and number of event horizons, with objects having one or two horizons classified as fuzzy BHs, while those lacking a horizon are categorized as self-gravitating droplets. The study also discusses the implications of these findings for the evolution and configuration of galactic structures.This study explores the structure of anisotropic fuzzy dark matter black holes (DM-BHs) within the framework of Starobinsky gravity. Building on the Einasto dark matter density parameterization, the research investigates the possibility of constructing DM-BHs by considering an anisotropic fluid configuration and a de Sitter-like equation of state (EOS), where ε = -P_r. The resulting BH solution exhibits a similar horizon structure to a Reissner-Nordström BH but replaces the central singularity with a regular de Sitter core through quadratic f(R) corrections. The study also explores the possibility of using a nonlocal EOS to construct a fuzzy DM stellar droplet, although radial pressure remains negative in this case. The findings suggest that moderately massive DM-BHs could exist within galactic structures and potentially act as central objects within galaxies. The Einasto DM profile is shown to be an extension of a Gaussian profile based on non-commutativity, and the de Sitter EOS plays a significant role in characterizing BH solutions. The study also investigates the potential connection between the central SMBH of our galaxy and DM, particularly within the current state of the galaxy. The research highlights the importance of non-commutative geometry in resolving infinities in field theories and its application in modeling spacetime "fuzziness." The study concludes that the Einasto parametrization, with an anisotropic fluid distribution, resolves the central singularity issue, leading to regular, stable fuzzy self-gravitating structures. The findings suggest that these configurations are solutions to the field equations associated with the Starobinsky model of gravity and correspond to regular, stable fuzzy self-gravitating structures. The nature of these astrophysical objects is determined by the presence and number of event horizons, with objects having one or two horizons classified as fuzzy BHs, while those lacking a horizon are categorized as self-gravitating droplets. The study also discusses the implications of these findings for the evolution and configuration of galactic structures.
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