支链世界黑洞额外时空维度的可观测强场效应

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
{"title":"支链世界黑洞额外时空维度的可观测强场效应","authors":"","doi":"10.1016/j.aop.2024.169802","DOIUrl":null,"url":null,"abstract":"<div><p>Inspired by the string theory, the braneworld picture introduces extra dimensions beyond the four that may have observable non-trivial effects in short distance (strong field) gravity experiments. A case in point is the Randall–Sundrum braneworld picture that projects the <span><math><mrow><mn>5</mn><mi>d</mi></mrow></math></span> bulk Weyl tensor onto the <span><math><mrow><mn>3</mn><mi>d</mi></mrow></math></span> brane providing a stress tensor in the effective Einstein field equations on the brane. Dadhich, Maartens, Papadopoulos and Rezania (DMPR) derived an exact braneworld black hole solution of the brane vacuum field equations. The solution formally resembles that of Reissner–Nordström but is physically different from it since the ”tidal charge” <span><math><mi>Υ</mi></math></span> in the solution is not the electric charge but an imprint from the fifth dimension allowing both signs in the power law modification <span><math><mrow><mo>±</mo><mfrac><mrow><msup><mrow><mi>Υ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></span> to the Schwarzschild metric <span><math><mfenced><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></span>. The corresponding black holes are designated as DMPR<span><math><mo>±</mo></math></span>. We study here the effect of <span><math><mi>Υ</mi></math></span> on strong field lensing observables and compare in the eikonal limit the ring down quasinormal mode (QNM) frequencies of DMPR<span><math><mo>−</mo></math></span> with those of DMPR+ , the two variants of tidal charge modified Schwarzschild black hole (<span><math><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></math></span>). It turns out that the tidal charge can significantly modify the Schwarzschild lensing observables and QNM frequencies. In particular, we find that the Pretorius–Khurana critical exponent <span><math><mi>γ</mi></math></span> of circular null orbits in the DMPR<span><math><mo>−</mo></math></span> black hole has a lower value than that for the Schwarzschild black hole, which indicates a stronger Lyapunov instability suggesting that the accretion disks of DMPR<span><math><mo>−</mo></math></span> black holes would appear brighter. The case of the SgrA* black hole is considered for a possible constraint on <span><math><mi>Υ</mi></math></span> from the EHT observation of its shadow size.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Observable strong field effects of extra spacetime dimension in the braneworld black hole\",\"authors\":\"\",\"doi\":\"10.1016/j.aop.2024.169802\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Inspired by the string theory, the braneworld picture introduces extra dimensions beyond the four that may have observable non-trivial effects in short distance (strong field) gravity experiments. A case in point is the Randall–Sundrum braneworld picture that projects the <span><math><mrow><mn>5</mn><mi>d</mi></mrow></math></span> bulk Weyl tensor onto the <span><math><mrow><mn>3</mn><mi>d</mi></mrow></math></span> brane providing a stress tensor in the effective Einstein field equations on the brane. Dadhich, Maartens, Papadopoulos and Rezania (DMPR) derived an exact braneworld black hole solution of the brane vacuum field equations. The solution formally resembles that of Reissner–Nordström but is physically different from it since the ”tidal charge” <span><math><mi>Υ</mi></math></span> in the solution is not the electric charge but an imprint from the fifth dimension allowing both signs in the power law modification <span><math><mrow><mo>±</mo><mfrac><mrow><msup><mrow><mi>Υ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></span> to the Schwarzschild metric <span><math><mfenced><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></span>. The corresponding black holes are designated as DMPR<span><math><mo>±</mo></math></span>. We study here the effect of <span><math><mi>Υ</mi></math></span> on strong field lensing observables and compare in the eikonal limit the ring down quasinormal mode (QNM) frequencies of DMPR<span><math><mo>−</mo></math></span> with those of DMPR+ , the two variants of tidal charge modified Schwarzschild black hole (<span><math><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></math></span>). It turns out that the tidal charge can significantly modify the Schwarzschild lensing observables and QNM frequencies. In particular, we find that the Pretorius–Khurana critical exponent <span><math><mi>γ</mi></math></span> of circular null orbits in the DMPR<span><math><mo>−</mo></math></span> black hole has a lower value than that for the Schwarzschild black hole, which indicates a stronger Lyapunov instability suggesting that the accretion disks of DMPR<span><math><mo>−</mo></math></span> black holes would appear brighter. The case of the SgrA* black hole is considered for a possible constraint on <span><math><mi>Υ</mi></math></span> from the EHT observation of its shadow size.</p></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2024-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491624002094\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624002094","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

受弦理论的启发,支世界图景引入了四维之外的额外维度,这些维度可能会在短距离(强场)引力实验中产生可观测的非微观效应。一个典型的例子是兰德尔-桑德鲁姆(Randall-Sundrum)的支线世界图景,它将 5d 体韦尔张量投射到 3d 星网上,在星网上的有效爱因斯坦场方程中提供了一个应力张量。Dadhich、Maartens、Papadopoulos 和 Rezania(DMPR)推导出了一个关于 "rane 真空场方程 "的精确的 "braneworld 黑洞解"。这个解在形式上与 Reissner-Nordström 的解相似,但在物理上与 Reissner-Nordström 的解不同,因为解中的 "潮汐电荷 "Υ不是电荷,而是来自第五维度的印记,允许施瓦兹柴尔德度量Υ=0 的幂律修正±Υ2r2 中的两种符号。我们在此研究了Υ对强场透镜观测值的影响,并比较了DMPR-与DMPR+这两种潮汐电荷修正的施瓦兹柴尔德黑洞(Υ=0)的环下准正模(QNM)频率。结果发现,潮汐电荷可以显著改变施瓦兹柴尔德透镜观测值和 QNM 频率。特别是,我们发现DMPR-黑洞中圆形空轨道的Pretorius-Khurana临界指数γ的值比Schwarzschild黑洞的低,这表明DMPR-黑洞的Lyapunov不稳定性更强,DMPR-黑洞的吸积盘会显得更亮。我们还考虑了SgrA*黑洞的情况,以便从EHT观测到的黑洞阴影大小对Υ进行可能的约束。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Observable strong field effects of extra spacetime dimension in the braneworld black hole

Inspired by the string theory, the braneworld picture introduces extra dimensions beyond the four that may have observable non-trivial effects in short distance (strong field) gravity experiments. A case in point is the Randall–Sundrum braneworld picture that projects the 5d bulk Weyl tensor onto the 3d brane providing a stress tensor in the effective Einstein field equations on the brane. Dadhich, Maartens, Papadopoulos and Rezania (DMPR) derived an exact braneworld black hole solution of the brane vacuum field equations. The solution formally resembles that of Reissner–Nordström but is physically different from it since the ”tidal charge” Υ in the solution is not the electric charge but an imprint from the fifth dimension allowing both signs in the power law modification ±Υ2r2 to the Schwarzschild metric Υ=0. The corresponding black holes are designated as DMPR±. We study here the effect of Υ on strong field lensing observables and compare in the eikonal limit the ring down quasinormal mode (QNM) frequencies of DMPR with those of DMPR+ , the two variants of tidal charge modified Schwarzschild black hole (Υ=0). It turns out that the tidal charge can significantly modify the Schwarzschild lensing observables and QNM frequencies. In particular, we find that the Pretorius–Khurana critical exponent γ of circular null orbits in the DMPR black hole has a lower value than that for the Schwarzschild black hole, which indicates a stronger Lyapunov instability suggesting that the accretion disks of DMPR black holes would appear brighter. The case of the SgrA* black hole is considered for a possible constraint on Υ from the EHT observation of its shadow size.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信