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We use the canonical energy method of Hollands and Wald to study the stability properties of asymptotically flat, stationary solutions to a very general class of theories, consisting of a set of coupled scalar fields and p-form gauge fields, minimally coupled to gravity.
1904
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, “Canonical variables for general relativity,” Phys. Rev. 117
1960
Earlier work this paper cites.
W. von Wahl, “Lp decay rates for homogeneous wave equations,” Math. Z. 120
1971
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of Surface Integrals in the Hamiltonian Formulation of General Relativity,” Annals Phys. 88
1974
Earlier work this paper cites.
R. P. Geroch and B. C. Xanthopoulos, “Asymptotic simplicity is stable,” J. Math. Phys. 19
1978
Earlier work this paper cites.
R. C. Myers and M. J. Perry, “Black Holes in Higher Dimensional Space-Times,” Annals Phys. 172
1986
Earlier work this paper cites.
B. F. Whiting, “Mode Stability Of The Kerr Black Hole,” J. Math. Phys. 30
1989
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, “Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations,” Phys. Rev. D 46
1992
Earlier work this paper cites.
R. and R. Laflamme, “Black strings and p-branes are unstable,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. T. Chrusciel and R. M. Wald, “Maximal hypersurfaces in asymptotically stationary space-times,” Commun. Math. Phys. 163
1994
Earlier work this paper cites.
V. Iyer and R. M. Wald, “A Comparison of Noether charge and Euclidean methods for computing the entropy of stationary black holes,” Phys. Rev. D 52
1995
Earlier work this paper cites.
G. W. Gibbons, R. Kallosh and B. Kol, “Moduli, scalar charges, and the first law of black hole thermodynamics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
W. Krivan, P. Laguna, P. Papadopoulos and N. Andersson, “Dynamics of perturbations of rotating black holes,” Phys. Rev. D 56
1997
Cited alongside, same era.
R. L. Arnowitt, S. Deser and C. W. Misner, “The Dynamics of general relativity,” Gen. Rel. Grav. 40
1997
Cited alongside, same era.
R. M. Wald and A. Zoupas, “A General definition of ’conserved quantities’ in general relativity and other theories of gravity,” Phys. Rev. D 61
2000
Cited alongside, same era.
H. S. Reall, “Classical and thermodynamic stability of black branes,” Phys. Rev. D 64
2001
Cited alongside, same era.
R. Emparan and H. S. Reall, “A Rotating black ring solution in five-dimensions,” Phys. Rev. Lett. 88
2002
Cited alongside, same era.
G. Compere, “Note on the First Law with p-form potentials,” Phys. Rev. D 75
2007
Later among the works it cites.
M. D. Seifert and R. M. Wald, “A General variational principle for spherically symmetric perturbations in diffeomorphism covariant theories,” Phys. Rev. D 75
2007
Later among the works it cites.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
2008
Later among the works it cites.
M. Dafermos and I. Rodnianski, “The Red-shift effect and radiation decay on black hole spacetimes,” Commun. Pure Appl. Math. 62
2009
Later among the works it cites.
2009
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2003
Cited alongside, same era.
R. Emparan, “Rotating circular strings, and infinite nonuniqueness of black rings,” JHEP 0403
2004
Cited alongside, same era.
S. Hollands and R. M. Wald, “Conformal null infinity does not exist for radiating solutions in odd spacetime dimensions,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
L. Andersson, M. Mars and W. Simon, “Local existence of dynamical and trapping horizons,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
S. Hollands and A. Ishibashi, “Asymptotic flatness and Bondi energy in higher dimensional gravity,” J. Math. Phys. 46
2005
Cited alongside, same era.
K. Copsey and G. T. Horowitz, “The Role of dipole charges in black hole thermodynamics,” Phys. Rev. D 73
2006
Cited alongside, same era.
Cited in the paper.
Later among the works it cites.
M. Rogatko, “First Law of p-brane Thermodynamics,” Phys. Rev. D 80
2009
Later among the works it cites.
2010
Later among the works it cites.
S. Hod and O. Hod, “Analytic treatment of the black-hole bomb,” Phys. Rev. D 81
2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.