Stability and quasinormal modes for black holes with time-dependent scalar hair

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-02-21 DOI:10.1103/physrevd.111.044067

Sergi Sirera, Johannes Noller

{"title":"Stability and quasinormal modes for black holes with time-dependent scalar hair","authors":"Sergi Sirera, Johannes Noller","doi":"10.1103/physrevd.111.044067","DOIUrl":null,"url":null,"abstract":"We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard general relativity (GR) form (e.g., Schwarzschild–de Sitter), but these solutions are generically plagued by instabilities. Recently, a new such solution was identified by Bakopoulos [], in which the time-dependent scalar background profile is qualitatively different from previous known exact solutions—specifically, the canonical kinetic term for the background scalar X</a:mi></a:math> is not constant in this solution. We investigate the stability of this new solution by analyzing odd parity perturbations, identifying a bound placed by stability and the resulting surviving parameter space. We extract the quasinormal mode spectrum predicted by the theory, finding a generic positive shift of quasinormal mode frequencies and damping times compared to GR. We forecast constraints on these shifts (and the single effective parameter <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mover accent=\"true\"><c:mi>β</c:mi><c:mo stretchy=\"false\">^</c:mo></c:mover></c:math> controlling them) from current and future gravitational wave experiments, finding constraints at up to the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi mathvariant=\"script\">O</g:mi><g:mo stretchy=\"false\">(</g:mo><g:msup><g:mn>10</g:mn><g:mrow><g:mo>−</g:mo><g:mn>2</g:mn></g:mrow></g:msup><g:mo stretchy=\"false\">)</g:mo></g:math> and <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mrow><l:mi mathvariant=\"script\">O</l:mi><l:mo stretchy=\"false\">(</l:mo><l:mrow><l:msup><l:mrow><l:mn>10</l:mn></l:mrow><l:mrow><l:mo>−</l:mo><l:mn>4</l:mn></l:mrow></l:msup></l:mrow><l:mo stretchy=\"false\">)</l:mo></l:mrow></l:math> level for LIGO-Virgo-KAGRA and Laser Interferometer Space Antenna/TianQin, respectively. All calculations performed in this paper are reproducible via a companion notebook. Published by the American Physical Society 2025 ","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"37 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.044067","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

Abstract

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard general relativity (GR) form (e.g., Schwarzschild–de Sitter), but these solutions are generically plagued by instabilities. Recently, a new such solution was identified by Bakopoulos [], in which the time-dependent scalar background profile is qualitatively different from previous known exact solutions—specifically, the canonical kinetic term for the background scalar X is not constant in this solution. We investigate the stability of this new solution by analyzing odd parity perturbations, identifying a bound placed by stability and the resulting surviving parameter space. We extract the quasinormal mode spectrum predicted by the theory, finding a generic positive shift of quasinormal mode frequencies and damping times compared to GR. We forecast constraints on these shifts (and the single effective parameter β^ controlling them) from current and future gravitational wave experiments, finding constraints at up to the O(10−2) and O(10−4) level for LIGO-Virgo-KAGRA and Laser Interferometer Space Antenna/TianQin, respectively. All calculations performed in this paper are reproducible via a companion notebook.

Published by the American Physical Society

2025

查看原文本刊更多论文

具有时变标量发的黑洞的稳定性和准正常模式

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.