Echoes of axial gravitational perturbations in stars of uniform density  

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作  者:林恺 钱卫良 Kai Lin;Wei-Liang Qian(Hubei Subsurface Multi-scale Imaging Key Laboratory,Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China;Escola de Engenharia de Lorena,Universidade de São Paulo,12602-810,Lorena,SP,Brazil;Faculdade de Engenharia de Guaratinguetá,Universidade Estadual Paulista,12516-410,Guaratinguetá,SP,Brazil;Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China)

机构地区:[1]Hubei Subsurface Multi-scale Imaging Key Laboratory,Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China [2]Escola de Engenharia de Lorena,Universidade de São Paulo,12602-810,Lorena,SP,Brazil [3]Faculdade de Engenharia de Guaratinguetá,Universidade Estadual Paulista,12516-410,Guaratinguetá,SP,Brazil [4]Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China

出  处:《Chinese Physics C》2023年第8期115-121,共7页中国物理C(英文版)

基  金:Supported by the National Natural Science Foundation of China(42230207)and the Brazilian Agencies Fundacao de Amparo a Pesquisa do Estado de Sao Paulo(FAPESP),Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro(FAPERJ),Conselho Nacional de Desenvolvimento Cientifico e Tecnologico(CNPq),Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior(CAPES),a part of this work was developed under the project Institutos Nacionais de Ciencias e Tecnologia-Fisica Nuclear e Aplicacoes(INCT/FNA)Proc.No.464898/2014-5;support from the Center for Scientific Computing(NCC/GridUNESP)of the Sao Paulo State University(UNESP)。

摘  要:This study investigates the echoes in axial gravitational perturbations in compact objects.Accordingly,we propose an alternative scheme of the finite difference method implemented in two coordinate systems,where the initial conditions are placed on the axis of the tortoise coordinate with appropriate boundary conditions that fully re-spect the causality.The scheme is then employed to study the temporal profiles of the quasinormal oscillations in the Schwarzschild black hole and uniform-density stars.When presented as a two-dimensional evolution profile,the res-ulting ringdown waveforms in the black hole metric are split into reflected and transmitted waves as the initial per-turbations evolve and collide with the peak of the effective potential.Meanwhile,for compact stars,quasinormal os-cillations might be characterized by echoes.Consistent with the causality arguments,the phenomenon is produced by the gravitational waves bouncing between the divergent potential at the star's center and the peak of the effective po-tential.The implications of the present study are also discussed herein.

关 键 词:quasinormal modes ECHO finite difference method 

分 类 号:P144[天文地球—天体物理]

 

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