scholarly journals Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes

2018 ◽  
Vol 323 ◽  
pp. 529-621 ◽  
Author(s):  
Y. Angelopoulos ◽  
S. Aretakis ◽  
D. Gajic
Keyword(s):  
Wave Equation ◽  
Late Time ◽  
Spherically Symmetric ◽  
Time Asymptotics ◽  
Stationary Spacetimes

Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity

2019 ◽  
Vol 16 (01) ◽  
pp. 1-34 ◽  
Author(s):  
Yannis Angelopoulos ◽  
Stefanos Aretakis ◽  
Dejan Gajic
Keyword(s):  
Radiation Field ◽  
Late Time ◽  
Spherically Symmetric ◽  
Null Infinity ◽  
Asymptotically Flat ◽  
Black Hole Spacetimes ◽  
Logarithmic Corrections ◽  
Time Asymptotics ◽  
Physics Literature ◽  
Field Of Solutions

We obtain the second-order late-time asymptotics for the radiation field of solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds including the Schwarzschild and sub-extremal Reissner–Nordström families of black hole spacetimes. These terms appear as logarithmic corrections to the leading-order asymptotic terms which were rigorously derived in our previous work. Such corrections have been heuristically and numerically derived in the physics literature in the case of a non-vanishing Newman–Penrose constant. In this case, our results provide a rigorous confirmation of the existence of these corrections. On the other hand, the precise logarithmic corrections for spherically symmetric compactly supported initial data (and hence, with a vanishing Newman–Penrose constant) explicitly obtained here appear to be new.

scholarly journals LINEAR AND NONLINEAR TAILS II: EXACT DECAY RATES IN SPHERICAL SYMMETRY

2009 ◽  
Vol 06 (01) ◽  
pp. 107-125 ◽  
Author(s):  
NIKODEM SZPAK ◽  
PIOTR BIZOŃ ◽  
TADEUSZ CHMAJ ◽  
ANDRZEJ ROSTWOROWSKI
Keyword(s):  
Spherical Symmetry ◽  
Wave Equations ◽  
Nonlinear Effects ◽  
Decay Rates ◽  
Nonlinear Wave Equations ◽  
Late Time ◽  
Spherically Symmetric ◽  
Time Asymptotics ◽  
Spherically Symmetric Solutions ◽  
Linear And Nonlinear

We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wave equations with a potential. The dominant tail is shown to result from the competition between linear and nonlinear effects.

scholarly journals Late-time asymptotics for the wave equation on extremal Reissner–Nordström backgrounds

2020 ◽  
Vol 375 ◽  
pp. 107363
Author(s):  
Y. Angelopoulos ◽  
S. Aretakis ◽  
D. Gajic
Keyword(s):  
Wave Equation ◽  
Late Time ◽  
Time Asymptotics

scholarly journals Some late-time asymptotics of general scalar–tensor cosmologies

2008 ◽  
Vol 25 (8) ◽  
pp. 085012 ◽  
Author(s):  
John D Barrow ◽  
Douglas J Shaw
Keyword(s):  
Late Time ◽  
Time Asymptotics ◽  
General Scalar

scholarly journals Wave equation on spherically symmetric Lorentzian metrics

2011 ◽  
Vol 52 (6) ◽  
pp. 063511 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Ahmad Y. Al-Dweik ◽  
A. H. Kara ◽  
M. Karim ◽  
F. D. Zaman
Keyword(s):  
Wave Equation ◽  
Spherically Symmetric ◽  
Lorentzian Metrics

scholarly journals Radio Observations of SN2004dk with VLITE Confirm Late-time Rebrightening

2021 ◽  
Vol 923 (1) ◽  
pp. 32
Author(s):  
A. Balasubramanian ◽  
A. Corsi ◽  
E. Polisensky ◽  
T. E. Clarke ◽  
N. E. Kassim
Keyword(s):  
Mass Loss ◽  
Strong Interaction ◽  
Light Curves ◽  
Core Collapse ◽  
Late Time ◽  
Spherically Symmetric ◽  
Complex Environment ◽  
Radio Observations ◽  
The Galaxy ◽  
Using Data

Abstract The study of stripped-envelope core-collapse supernovae (SNe), with evidence for strong interaction of SN ejecta with the circumstellar medium (CSM), provides insights into the pre-supernova progenitor, and a fast-forwarded view of the progenitor mass-loss history. In this context, we present late-time radio observations of SN 2004dk, a Type Ibc supernova located in the galaxy NGC 6118, at a distance of d L ≈ 23 Mpc. About 10 yr after explosion, SN 2004dk has shown evidence for Hα emission, possibly linked to the SN ejecta interacting with a H-rich CSM. Using data from the VLA Low Band Ionosphere and Transient Experiment (VLITE), we confirm the presence of a late-time radio rebrightening accompanying the observed Hα emission. We model the SN 2004dk radio light curves within the (spherically symmetric) synchrotron-self-absorption (SSA) model. Within this model, our VLITE observations combined with previously collected VLA data favor an interpretation of SN 2004dk as a strongly CSM-interacting radio SN going through a complex environment shaped by nonsteady mass loss from the SN progenitor.

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