{"title":"Scalar and spinor quasi normal modes of a 2D dilatonic blackhole","authors":"Pabitra Gayen, Ratna Koley","doi":"10.1007/s10714-023-03178-5","DOIUrl":null,"url":null,"abstract":"<div><p>External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime (Mandal et al. in Mod Phys Lett A 6:1685–1692. https://doi.org/10.1142/S0217732391001822, 1991; Witten in Phys Rev D 44:314–324. https://doi.org/10.1103/PhysRevD.44.314, 1991). Exact analytical expressions of the quasi-normal mode frequencies have been found for both the cases. In the scalar perturbations the quasi-normal mode frequencies turn out to be purely imaginary and negative. Furthermore we have found that the quasi-normal frequencies for Dirac field exhibit both real and imaginary part. The QNM frequencies decay monotonically with the overtone number under certain class of the blackhole parameters. The decay profile ensures the stability of the blackhole spacetime under these perturbations.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 11","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-023-03178-5","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime (Mandal et al. in Mod Phys Lett A 6:1685–1692. https://doi.org/10.1142/S0217732391001822, 1991; Witten in Phys Rev D 44:314–324. https://doi.org/10.1103/PhysRevD.44.314, 1991). Exact analytical expressions of the quasi-normal mode frequencies have been found for both the cases. In the scalar perturbations the quasi-normal mode frequencies turn out to be purely imaginary and negative. Furthermore we have found that the quasi-normal frequencies for Dirac field exhibit both real and imaginary part. The QNM frequencies decay monotonically with the overtone number under certain class of the blackhole parameters. The decay profile ensures the stability of the blackhole spacetime under these perturbations.
在（1+1）维膨胀黑洞时空中研究了外部非最小耦合标量场和旋量场扰动（Mandal et al.in Mod Phys Lett a 6:1685–1692）。https://doi.org/10.1142/S0217732391001822，1991年；Witten在Phys Rev D 44:314–324。https://doi.org/10.1103/PhysRevD.44.314，1991）。对于这两种情况，都找到了准正模频率的精确解析表达式。在标量扰动中，准正模频率是纯虚的和负的。此外，我们还发现狄拉克场的准正态频率同时表现出实部和虚部。在一定的黑洞参数下，QNM频率随泛音数单调衰减。衰变剖面确保了黑洞时空在这些扰动下的稳定性。
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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