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Scalar charges and the first law of black hole thermodynamics
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We present a variational formulation of Einstein-Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then compute the finite gravitational action and corresponding Brown-York stress tensor. We show that the total energy has a new contribution that depends of the asymptotic value of the scalar field and discuss the role of scalar charges for the first law of thermodynamics. We also extend our analysis to hairy black holes in Anti-de Sitter spacetime and investigate the thermodynamics of an exact solution that breaks the conformal symmetry of the boundary.
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Exploring String Theory Solutions: Black hole thermodynamics with $\alpha'$ corrections and type II compactifications
A doctoral thesis restating published results on α'-corrected black holes in heterotic string theory and on type II flux compactifications, with no new standalone results.
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