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We derive the first law of black hole mechanics for physical theories based on a local, covariant and gauge-invariant Lagrangian where the dynamical fields transform non-trivially under the action of internal gauge transformations.
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1993
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D. Sudarsky and R. M. Wald, Mass formulas for stationary Einstein Yang-Mills black holes and a simple proof of two staticity theorems
1993
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T. Jacobson and R. C. Myers, Black hole entropy and higher curvature interactions
1993
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V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy
1994
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P. Peldan, Actions for gravity, with generalizations: A Review
1994
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T. Jacobson, G. Kang, and R. C. Myers, On black hole entropy
1994
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T. Jacobson, G. Kang, and R. C. Myers, Increase of black hole entropy in higher curvature gravity
1995
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K. Sanders, The Locally Covariant Dirac Field
2010
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2011
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L. Fatibene and M. Francaviglia, General theory of Lie derivatives for Lorentz tensors
2011
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2011
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S. Sarkar and A. C. Wall, Second Law Violations in Lovelock Gravity for Black Hole Mergers
2011
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T. Liko, Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
2012
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S. Hollands and R. M. Wald, Stability of Black Holes and Black Branes
2013
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Imperial College Press, London, 2013
M. Blagojevic and F. W. Hehl, eds., Gauge Theories of Gravitation — A reader with commentaries · 2013
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S. McCormick, First Law of Black Hole Mechanics as a Condition for Stationarity
2014
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2014
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2014
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J. Keir, Stability, Instability, Canonical Energy and Charged Black Holes
2014
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2014
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2014
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J. S. Schiffrin and R. M. Wald, Reflection Symmetry in Higher Dimensional Black Hole Spacetimes
2015
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2015
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K. Prabhu and R. M. Wald, Black Hole Instabilities and Exponential Growth
2015
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T. Jacobson and A. Mohd, Black hole entropy and Lorentz-diffeomorphism Noether charge
2015
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A. C. Wall, A Second Law for Higher Curvature Gravity
2015
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