Fetching the paper…
Reading the bibliography…
Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon.
E. T. Newman and R. Penrose, “New conservation laws for zero rest-mass fields in asymptotically flat space-time,” Proc. Roy. Soc. Lond. A 305
1968
Earlier work this paper cites.
R. P. Geroch, A. Held and R. Penrose, “A space-time calculus based on pairs of null directions,” J. Math. Phys. 14
1973
Earlier work this paper cites.
J. M. Maldacena, J. Michelson and A. Strominger, “Anti-de Sitter fragmentation,” JHEP 9902
1999
Earlier work this paper cites.
J. M. Bardeen and G. T. Horowitz, “The Extreme Kerr throat geometry: A Vacuum analog of AdS(2) x S**2,” Phys. Rev. D 60
1999
Earlier work this paper cites.
2007
Earlier work this paper cites.
C. P. Burgess, “Introduction to Effective Field Theory,” Ann. Rev. Nucl. Part. Sci. 57
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
2009
Earlier work this paper cites.
2009
Cited alongside, same era.
O. J. C. Dias, H. S. Reall and J. E. Santos, “Kerr-CFT and gravitational perturbations,” JHEP 0908
2009
Cited alongside, same era.
2011
Cited alongside, same era.
2012
Cited alongside, same era.
2014
Later among the works it cites.
S. Aretakis, “Horizon Instability of Extremal Black Holes,” Adv. Theor. Math. Phys. 19
2015
Later among the works it cites.
S. Hadar, A. P. Porfyriadis and A. Strominger, “Fast plunges into Kerr black holes,” JHEP 1507
2015
Later among the works it cites.
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2013
Cited alongside, same era.
2013
Cited alongside, same era.
S. Aretakis, “Nonlinear instability of scalar fields on extremal black holes,” Phys. Rev. D 87
2013
Cited alongside, same era.
2013
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
Cited in the paper.
Y. Angelopoulos, S. Aretakis and D. Gajic, ”Late-time asymptotics for the wave equation on extremal Reissner-Nordstrom”, to appear
Cited in the paper.
2016
Later among the works it cites.
2017
Closest in time.
2017
Closest in time.