Two regimes of asymptotic fall-off of a massive scalar field in the Schwarzschild - de Sitter spacetime

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F24%3AA0000367" target="_blank" >RIV/47813059:19630/24:A0000367 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.104018" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.104018</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.109.104018" target="_blank" >10.1103/PhysRevD.109.104018</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Two regimes of asymptotic fall-off of a massive scalar field in the Schwarzschild - de Sitter spacetime

Popis výsledku v původním jazyce

The decay behavior of a massless scalar field in the Schwarzschild-de Sitter spacetime is well-known to follow an exponential law at asymptotically late times t -&gt; infinity. In contrast, a massive scalar field in the asymptotically flat Schwarzschild background exhibits a decay with oscillatory (sinusoidal) tails enveloped by a power law. We demonstrate that the asymptotic decay of a massive scalar field in the Schwarzschild-de Sitter spacetime is exponential. Specifically, if mu M &gt;&gt; 1, where mu and M represent the mass of the field and the black hole, respectively, the exponential decay is also oscillatory. Conversely, in the regime of small mu M , the decay is purely exponential without oscillations. This distinction in decay regimes underscores the fact that, for asymptotically de Sitter spacetimes, a particular branch of quasinormal modes, instead of a "tail, " governs the decay at asymptotically late times. There are two branches of quasinormal modes for the Schwarzschild-de Sitter spacetime: the modes of an asymptotically flat black hole corrected by a nonzero A term, and the modes of an empty de Sitter spacetime corrected by the presence of a black hole. We show that the latter branch is responsible for the asymptotic decay. When mu M is small, the modes of pure de Sitter spacetime are purely imaginary (nonoscillatory), while at intermediate and large mu M they have both real and imaginary parts, what produces the two pictures of the asymptotic decay. In addition, we show that the asymptotic decay of charged and higher -dimensional black hole is also exponential.

Název v anglickém jazyce

Two regimes of asymptotic fall-off of a massive scalar field in the Schwarzschild - de Sitter spacetime

Popis výsledku anglicky

The decay behavior of a massless scalar field in the Schwarzschild-de Sitter spacetime is well-known to follow an exponential law at asymptotically late times t -&gt; infinity. In contrast, a massive scalar field in the asymptotically flat Schwarzschild background exhibits a decay with oscillatory (sinusoidal) tails enveloped by a power law. We demonstrate that the asymptotic decay of a massive scalar field in the Schwarzschild-de Sitter spacetime is exponential. Specifically, if mu M &gt;&gt; 1, where mu and M represent the mass of the field and the black hole, respectively, the exponential decay is also oscillatory. Conversely, in the regime of small mu M , the decay is purely exponential without oscillations. This distinction in decay regimes underscores the fact that, for asymptotically de Sitter spacetimes, a particular branch of quasinormal modes, instead of a "tail, " governs the decay at asymptotically late times. There are two branches of quasinormal modes for the Schwarzschild-de Sitter spacetime: the modes of an asymptotically flat black hole corrected by a nonzero A term, and the modes of an empty de Sitter spacetime corrected by the presence of a black hole. We show that the latter branch is responsible for the asymptotic decay. When mu M is small, the modes of pure de Sitter spacetime are purely imaginary (nonoscillatory), while at intermediate and large mu M they have both real and imaginary parts, what produces the two pictures of the asymptotic decay. In addition, we show that the asymptotic decay of charged and higher -dimensional black hole is also exponential.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

109

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

„104018-1“-„104018-11“

Kód UT WoS článku

001243894800008

EID výsledku v databázi Scopus

2-s2.0-85192303067