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We first derive the Hamiltonian for Lovelock gravity and find that it takes the same form as in general relativity when written in terms of the Misner-Sharp mass function.
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R. Arnowitt, S. Deser, and Charles W. Misner · 1962
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Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
Charles W. Misner and David H. Sharp · 1964
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Divergence-Free Tensorial Concomitants
David Lovelock · 1970
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The Einstein Tensor and Its Generalizations
David Lovelock · 1971
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The Principle of Symmetric Criticality
R. S. Palais · 1979
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Robert M. Wald · 1984
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String-Generated Gravity Models
D. G. Boulware and S. Deser · 1985
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Superstring Modifications of Einstein’s Equations
D. J. Gross and E. Witten · 1986
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Spherically Symmetric Solutions of Einstein Maxwell Theory with a GB Term
D. L. Wiltshire · 1986
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The Quartic Effective Action for the Heterotic String
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Two-Loop Beta Function for the Generalized Bosonic Sigma Model
R. R. Metsaev and A. A. Tseytlin · 1987
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Dimensionally Continued Topological Gravitation Theory in Hamiltonian Form
Claudio Teitelboim and Jorge Zanelli · 1987
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Universality and Scaling in Gravitational Collapse of a Massless Scalar Field
Matthew W. Choptuik · 1993
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Jonathan Ziprick · 1993
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Jason Bland · 1993
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Geometrodynamics of Schwarschild Black Holes
Karel V. Kuchar · 1994
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Hans-Juergen Matschull · 1996
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The Spherically Symmetric Collapse of a Massless Scalar Field
R. S. Hamade and J. M. Stewart · 1996
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Critical Behavior in Gravitational Collapse of a Yang-Mills Field
Matthew W. Choptuik, T. Chmaj, and Piotr Bizon · 1996
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Jorma Louko and J. Mäkelä · 1996
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Hamiltonian Thermodynamics of a Lovelock Black Hole
Jorma Louko, Jonathan Simon, and Stephen Winters-Hilt · 1997
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Birkhoff for Lovelock Redux
S. Deser and J. Franklin · 2005
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Robin Zegers · 2005
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Flat Slice Hamiltonian Formalism for Dynamical Black Holes
Viqar Husain and Oliver Winkler · 2005
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Choptuik’s Scaling in Higher Dimensions
Evgeny Sorkin and Yonatan Oren · 2005
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Dimension Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
Jason Bland, Brent Preston, Matt Becker, Gabor Kunstatter, and Viqar Husain · 2005
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Gabor Kunstatter and Jorma Louko · 2007
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Shahar Hod and Tsvi Piran · 1997
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Choptuik Scaling in Six Dimensions
David Garfinkle, C. Cutler, and G. C. Duncan · 1999
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Regular Coordinate Systems for Schwarzschild and Other Spherical Spacetimes
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N+1 Formalism in Einstein-Gauss-Bonnet Gravity
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Tim Taves and Gabor Kunstatter · 2011
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Lovelock Black Holes with Maximally Symmetric Horizons
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Critical Collapse in Einstein-Gauss-Bonnet Gravity in Five and Six Dimensions
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Canonical Analysis and Stability of Lanczos–Lovelock Gravity
S. Deser and J. Franklin · 2012
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Hamiltonian Formulation of Scalar Field Collapse in Einstein-Gauss-Bonnet Gravity
Tim Taves, C. Danielle Leonard, Gabor Kunstatter, and Robert B. Mann · 2012
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Geometrodynamics of Spherically Symmetric Lovelock Gravity
Gabor Kunstatter, Tim Taves, and Hideki Maeda · 2012
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Choptuik’s Critical Phenomenon in Einstein-Gauss-Bonnet Gravity
Sveta Golod and Tsvi Piran · 2012
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Hamiltonian Dynamics of Lovelock Black Holes with Spherical Symmetry
Gabor Kunstatter, Hideki Maeda, and Tim Taves · 2013
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