Fetching the paper…
Reading the bibliography…
We prove that, in a class of spherically symmetric spacetimes exhibiting stable trapping of null geodesics, linear waves cannot (uniformly) decay faster than logarithmically.
“General Relativistic Fluid Spheres”
Hans˜A. Buchdahl · 1959
Earlier work this paper cites.
“Variational calculation of fundamental frequencies of quadrupole pulsation of fluid spheres in general relativity”
Steven˜L. Detweiler · 1975
Earlier work this paper cites.
“Ergosphere instability”
John˜L Friedman · 1978
Earlier work this paper cites.
“On the Ergoregion Instability ”
B.˜F. Comins · 1978
Earlier work this paper cites.
“Neutrinos in Compact Objects”
A.K. Kembhavi and C.V. Vishveshwara · 1980
Earlier work this paper cites.
“Ultracompact ( R < 3 M R<3M ) objects in general relativity”
BR Iyer, CV Vishveshwara and SV Dhurandhar · 1985
Earlier work this paper cites.
“The null condition and global existence to nonlinear wave equations”
Sergiu Klainerman · 1986
Earlier work this paper cites.
“New models for neutron stars”
Safi Bahcall, Bryan˜W. Lynn and Stephen˜B. Selipsky · 1989
Earlier work this paper cites.
“On the non-radial oscillations of a star”
Subrahmanyan Chandrasekhar and V. Ferrari · 1991
Earlier work this paper cites.
“W-modes: A New family of normal modes of pulsating relativistic stars”
K.D. Kokkotas and Bernard˜F. Schutz · 1992
Earlier work this paper cites.
“The Global nonlinear stability of the Minkowski space”, 1993
D. Christodoulou and S. Klainerman · 1993
Earlier work this paper cites.
“Properties of ultracompact neutron stars”
Robert˜J. Nemiroff, Peter˜A. Becker and Kent˜S. Wood · 1993
Earlier work this paper cites.
“On the oscillation spectra of ultracompact stars: An Extensive survey of gravitational wave modes”
Nils Andersson, Yasufumi Kojima and Kostas˜D. Kokkotas · 1996
Earlier work this paper cites.
“Ergoregion instability revisited - a new and general method for numerical analysis of stability”
S. Yoshida and Y. Eriguchi · 1996
Cited alongside, same era.
“Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel”
Nicolas Burq · 1998
Cited alongside, same era.
“Quasinormal modes of stars and black holes”
Kostas˜D. Kokkotas and Bernd˜G. Schmidt · 1999
Cited alongside, same era.
“Trapped and excited W-modes of stars with a phase transition and R greater than or equal to 5M”
Zeferino Andrade · 2001
Cited alongside, same era.
“Ultracompact stars with multiple necks”
Max Karlovini, Kjell Rosquist and Lars Samuelsson · 2002
Cited alongside, same era.
“The w-mode instability of ultracompact relativistic stars”
Kostas˜D. Kokkotas, J. Ruoff and N. Andersson · 2004
“On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions”
Oscar˜J.C. Dias, Gary˜T. Horowitz, Don Marolf and Jorge˜E. Santos · 2012
Later among the works it cites.
“Lectures on black holes and linear waves”
Mihalis Dafermos and Igor Rodnianski · 2013
Later among the works it cites.
Jan Sbierski · 2013
Later among the works it cites.
“Decay properties of Klein-Gordon fields on Kerr-AdS spacetimes”
Gustav Holzegel and Jacques Smulevici · 2013
Later among the works it cites.
“Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances”
Caio F.˜B. Macedo, Paolo Pani, Vitor Cardoso and Luís C.˜B. Crispino · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
“Dynamic instability of solitons in 4 + 1-dimensional gravity with negative cosmological constant”
Mihalis Dafermos and Gustav Holzegel · 2006
Cited alongside, same era.
“Phase Space Analysis on some Black Hole Manifolds”
P. Blue and A. Soffer · 2008
Cited alongside, same era.
“The Red-shift effect and radiation decay on black hole spacetimes”
Mihalis Dafermos and Igor Rodnianski · 2009
Cited alongside, same era.
Mihalis Dafermos and Igor Rodnianski · 2010
Cited alongside, same era.
Mihalis Dafermos and Igor Rodnianski · 2010
Cited alongside, same era.
“On weakly turbulent instability of anti-de Sitter space”
Piotr Bizon and Andrzej Rostworowski · 2011
Cited alongside, same era.
Gustav Holzegel and Jacques Smulevici · 2014
Closest in time.
“Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects”
Vitor Cardoso et al · 2014
Closest in time.
Mihalis Dafermos, Igor Rodnianski and Yakov Shlapentokh-Rothman · 2014
Closest in time.
Georgios Moschidis · 2015
Closest in time.
“Superradiance”
Richard Brito, Vitor Cardoso and Paolo Pani · 2015
Closest in time.
“Slowly rotating anisotropic neutron stars in general relativity and scalar–tensor theory”
Hector˜O. Silva, Caio F.˜B. Macedo, Emanuele Berti and Lu“’is C.˜B. Crispino · 2015
Closest in time.
“Observation of Gravitational Waves from a Binary Black Hole Merger”
B.˜P. Abbott · 2016
Closest in time.
“Is the gravitational-wave ringdown a probe of the event horizon?”, 2016
Vitor Cardoso, Edgardo Franzin and Paolo Pani · 2016
Closest in time.