48 citations · 318 across the 24 of their papers we have counts for
27 papers
Charged scalar fields on Reissner--Nordström spacetimes I: integrated energy estimates
Dejan Gajic
This is the first part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordström sp…
Charged scalar fields on Reissner--Nordström spacetimes II: late-time tails and instabilities
Dejan Gajic
This is the second part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordström s…
Linear and nonlinear late-time tails on dynamical black hole spacetimes via time integrals
Dejan Gajic, Lionor Kehrberger
We prove the global leading-order late-time asymptotic behaviour of solutions to inhomogeneous wave equations on dynamical black hole exterior backgrounds that settle down to Schwa…
Quasinormal modes on Kerr spacetimes
Dejan Gajic, Claude M. Warnick
We introduce a rigorous framework for defining quasinormal modes on stationary, asymptotically flat spacetimes as isolated eigenvalues of the infinitesimal generator of time transl…
Late-time tails for scale-invariant wave equations with a potential and the near-horizon geometry of null infinity
Dejan Gajic, Maxime Van de Moortel
We provide a definitive treatment, including sharp decay and the precise late-time asymptotic profile, for generic solutions of linear wave equations with a (singular) inverse-squa…
Azimuthal instabilities on extremal Kerr
Dejan Gajic
We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maxim…
Late-time asymptotics for geometric wave equations with inverse-square potentials
Dejan Gajic
We introduce a new, physical-space-based method for deriving the precise leading-order late-time behaviour of solutions to geometric wave equations on asymptotically flat spacetime…
On the Relation Between Asymptotic Charges, the Failure of Peeling and Late-time Tails
Dejan Gajic, Lionor M. A. Kehrberger
The last few years have seen considerable mathematical progress concerning the asymptotic structure of gravitational radiation in dynamical, astrophysical spacetimes. In this paper…
Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
In this paper, we prove precise late-time asymptotics for solutions to the wave equation supported on angular frequencies greater or equal to on the domain of outer communic…
Late-time tails and mode coupling of linear waves on Kerr spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for proje…
Curvature blow-up rates in spherically symmetric gravitational collapse to a Schwarzschild black hole
Xinliang An, Dejan Gajic
We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-…
A model problem for quasinormal ringdown on asymptotically flat or extremal black holes
Dejan Gajic, Claude Warnick
We consider a wave equation with a potential on the half-line as a model problem for wave propagation close to an extremal horizon, or the asymptotically flat end of a black hole s…
Quasinormal modes in extremal Reissner-Nordström spacetimes
Dejan Gajic, Claude Warnick
We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extrema…
A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at…
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global ex…
Horizon hair of extremal black holes and measurements at null infinity
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is shown that the conserved charges on the event horizon and the Cauchy horizon associated to scalar perturbations on extremal black holes are externally measurable from null in…
Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We derive the precise late-time asymptotics for solutions to the wave equation on extremal Reissner-Nordström black holes and explicitly express the leading-order coefficients in t…
Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
In our previous work [Y. Angelopoulos, S. Aretakis, and D. Gajic, Late-time asymptotics for the wave equation on spherically symmetric stationary backgrounds, in Advances in Mathem…
Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We obtain the second-order asymptotics for the radiation field of spherically symmetric solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds…
The interior of dynamical extremal black holes in spherical symmetry
Dejan Gajic, Jonathan Luk
We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordström black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-G…
Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Sc…
A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present a new vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes. Specifically, we derive…
Asymptotic blow-up for a class of semilinear wave equations on extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We prove small data global existence for a class of semilinear wave equations satisfying the null condition on extremal Reissner-Nordstrom black hole backgrounds with nonlinear ter…
Linear waves in the interior of extremal black holes II
Dejan Gajic
We consider solutions to the linear wave equation in the interior region of extremal Kerr black holes. We show that axisymmetric solutions can be extended continuously beyond the C…