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J. Jebsen, “On the general spherically symmetric solutions of einstein’s gravitational equations in vacuo.,” Arkiv for Matematik, Astronomi och Fysik
1921
Earlier work this paper cites.
Harvard University Press Cambridge, 1923
G. D. Birkhoff and R. E. Langer, Relativity and modern physics · 1923
Earlier work this paper cites.
W. Alexandrow, “Über den kugelsymmetrischen vakuumvorgang in der einsteinschen gravitationstheorie,” Annalen der Physik
1923
Earlier work this paper cites.
J. Eiesland, “The group of motions of an einstein space,” Transactions of the American Mathematical Society
1925
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys.Rev
1973
Earlier work this paper cites.
Cambridge university press, 1973
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time · 1973
Earlier work this paper cites.
S. Hawking, “Particle Creation by Black Holes,” Commun.Math.Phys
1975
Earlier work this paper cites.

Similar

K. Stelle, “Classical gravity with higher derivatives,” General Relativity and Gravitation
1978
Cited alongside, same era.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev
1993
Cited alongside, same era.
T. Jacobson, G. Kang, and R. C. Myers, “On black hole entropy,” Phys. Rev
1994
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev
1994
Cited alongside, same era.
A. Sen, “Black Hole Entropy Function, Attractors and Precision Counting of Microstates,” Gen. Rel. Grav
Original
2008
Cited alongside, same era.
G. A. Edgar, “Transseries for beginners,” ArXiv e-prints

Then

J. Oliva and S. Ray, “Birkhoff’s Theorem in Higher Derivative Theories of Gravity II,” Phys. Rev
Original
2012
Later among the works it cites.
Academic press, 2014
I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products · 2014
Later among the works it cites.
H. Lü, A. Perkins, C. N. Pope, and K. S. Stelle, “Black Holes in Higher-Derivative Gravity,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
H. Lü, A. Perkins, C. N. Pope, and K. S. Stelle, “Spherically Symmetric Solutions in Higher-Derivative Gravity,” Phys. Rev
Original
2015
Later among the works it cites.
L. Alvarez-Gaume, A. Kehagias, C. Kounnas, D. Lüst, and A. Riotto, “Aspects of Quadratic Gravity,” Fortsch. Phys
Original
2016

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2017

Ineffective Higher Derivative Black Hole Hair

Goldstein, Kevin, Mashiyane, James Junior

Understand

Inspired by possibility that the Schwarzschild black hole may not be the unique spherically symmetric vacuum solution to generalisations of general relativity, we consider black holes in pure fourth order higher derivative gravity treated as an effective theory.

Such solutions may be of interest in addressing the issue of higher derivative hair or during the later stages of black hole evaporation.
Non-Schwarzschild solutions have been studied but we have put earlier results on a firmer footing by finding a systematic asymptotic expansion for the black holes and matching them with known numerical solutions obtained by integrating out from the near horizon region.
These asymptotic expansions can be cast in the form of trans-series expansions which we conjecture will be a generic feature of non-Schwarzschild higher derivative black holes.

Built on

J. Jebsen, “On the general spherically symmetric solutions of einstein’s gravitational equations in vacuo.,” Arkiv for Matematik, Astronomi och Fysik
1921
Earlier work this paper cites.
Harvard University Press Cambridge, 1923
G. D. Birkhoff and R. E. Langer, Relativity and modern physics · 1923
Earlier work this paper cites.
W. Alexandrow, “Über den kugelsymmetrischen vakuumvorgang in der einsteinschen gravitationstheorie,” Annalen der Physik
1923
Earlier work this paper cites.
J. Eiesland, “The group of motions of an einstein space,” Transactions of the American Mathematical Society
1925
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys.Rev
1973
Earlier work this paper cites.
Cambridge university press, 1973
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time · 1973
Earlier work this paper cites.
S. Hawking, “Particle Creation by Black Holes,” Commun.Math.Phys
1975
Earlier work this paper cites.

Similar

K. Stelle, “Classical gravity with higher derivatives,” General Relativity and Gravitation
1978
Cited alongside, same era.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev
1993
Cited alongside, same era.
T. Jacobson, G. Kang, and R. C. Myers, “On black hole entropy,” Phys. Rev
1994
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev
1994
Cited alongside, same era.
A. Sen, “Black Hole Entropy Function, Attractors and Precision Counting of Microstates,” Gen. Rel. Grav
Original
2008
Cited alongside, same era.
G. A. Edgar, “Transseries for beginners,” ArXiv e-prints