Abstract
We report a 3D charged black hole solution in an anti desetter space inspired by noncommutative geometry.In this construction,the black hole exhibits two horizon which turn into a single horizon in the extreme case.We investigate the impacts of the electromagnetic field on the location of the event horizon,mass and thermodynamic properties such as Hawking temperature,entropy and heat capacity of the black hole.The geodesics of the charged black hole are also analyzed.
Highlights
A large number of studies inspired by noncommutative geometry are available in the literature
3-dimensional charged black hole solution based on noncommutative geometry in an anti-de Sitter background spacetime
Larrañaga and Tejeiro [18] have obtained a charged black hole solution in 3-D anti-de Sitter space inspired by noncommutative geometry where a Gaussian distribution of charge has been considered
Summary
A large number of studies inspired by noncommutative geometry are available in the literature. Have discussed thermodynamic behavior and evaporation processes involved in a noncommutative black hole In their investigations, they have considered a noncommutative 3-. Banerjee et al [11] have investigated the thermodynamic properties (Hawking temperature, entropy, and area law, in particular) of a Schwarzschild black hole in noncommutative spacetimes. 3-dimensional charged black hole solution based on noncommutative geometry in an anti-de Sitter background spacetime. Corresponding to the static BTZ exterior, Cataldo et al [17] have investigated the properties of a circularly symmetric static charged fluid distribution. Larrañaga and Tejeiro [18] have obtained a charged black hole solution in 3-D anti-de Sitter space inspired by noncommutative geometry where a Gaussian distribution of charge has been considered. Rahaman et al [19] have studied BTZ black holes inspired by noncommutative geometry. Effective potential and behavior of test particles around the black hole have been outlined
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