Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes

Understand

Low energy limits of a string theory suggest that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities.

• Einstein-Gauss-Bonnet is a natural extension of the general relativity to higher dimensions in which the first and second-order terms correspond, respectively, to general relativity and Einstein-Gauss-Bonnet gravity.
• We obtain five-dimensional ($5D$) black hole solutions, inspired by a noncommutative geometry, with a static spherically symmetric, Gaussian mass distribution as a source both in the general relativity and Einstein-Gauss-Bonnet gravity cases, and we also analyze their thermodynamical properties.
• Owing to the noncommutative corrected black hole, the thermodynamic quantities have also been modified, and phase transition is shown to be achievable.