α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.
Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
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abstract
We consider the Gauss-Bonnet gravity in the presence of a new class of nonlinear electromagnetic field, namely, power Maxwell invariant. By use of a suitable transformation, we obtain a class of real rotating solutions with $k$ rotation parameters and investigate some properties of the solutions such as existence of singularity(ies) and asymptotic behavior of them. Also, we calculate the finite action, thermodynamic and conserved quantities of the solutions and using the the Smarr-type formula to check the first law of thermodynamics.
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$\alpha'$ corrections to self-dual gravitational instantons
α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.