34 citations · 65 across the 6 of their papers we have counts for
7 papers
Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range : physical space analysis
Yakov Shlapentokh-Rothman, Rita Teixeira da Costa
This paper concludes the study, initiated by the authors in arXiv:2007.07211, of the Teukolsky equation of spin and spin on Kerr backgrounds in the full subextremal…
Oscillations in wave map systems and homogenization of the Einstein equations in symmetry
André Guerra, Rita Teixeira da Costa
In 1989, Burnett conjectured that, under appropriate assumptions, the limit of highly oscillatory solutions to the Einstein vacuum equations is a solution of the Einstein--massless…
Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes
Marc Casals, Rita Teixeira da Costa
We uncover hidden spectral symmetries of the Teukolsky equation in Kerr(-de Sitter) black holes, recently conjectured by Aminov, Grassi and Hatsuda (arXiv: 2006.06111 and arXiv: 20…
The Teukolsky--Starobinsky constants: facts and fictions
Rita Teixeira da Costa, Marc Casals
The Teukolsky Master Equation describes the dynamics of massless fields with spin on a Kerr black hole. Under separation of variables, spin-reversal for this equation is accomplish…
Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range : frequency space analysis
Yakov Shlapentokh-Rothman, Rita Teixeira da Costa
This paper is the first of a series regarding the Teukolsky equation of spin and spin on Kerr backgrounds in the full subextremal range of parameters . In th…
Numerical evidence towards a positive answer to Morrey's problem
André Guerra, Rita Teixeira da Costa
We report on numerical experiments suggesting that rank-one convexity imples quasiconvexity in the planar case. We give a simple heuristic explanation of our findings.
Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes
Rita Teixeira da Costa
We prove that there are no exponentially growing modes nor modes on the real axis for the Teukolsky equation on Kerr black hole spacetimes, both in the extremal and subextremal cas…