BTZ黑洞近视界几何中玻色子量子振荡器的阻尼模式

IF 2.1 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2022-12-26 DOI:10.1007/s10714-022-03058-4

Abdullah Guvendi, Semra Gurtas Dogan

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引用次数: 4

摘要

通过解析得到相关Klein-Gordon方程的解，我们分析了广义玻色子在BTZ黑洞近视界几何中的演化。我们证明，对于所讨论的系统，可以得到闭式的相对论频率表达式。在这里，我们观察到这样的系统在没有任何实振荡的情况下随时间衰减，并且阻尼模式明确地依赖于振荡器耦合的参数，而不是背景几何参数。这一结果使我们能够分析振荡器耦合和时空参数对这种试验场演化的影响。结果表明，在此扰动场下，时空背景是稳定的。

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Damped modes for a bosonic quantum oscillator in the near-horizon geometry of the BTZ black hole

We analyse the evolution of a generalized bosonic oscillator in the near horizon geometry of the BTZ black hole by analytically obtaining a solution of the associated Klein–Gordon equation. We show that it is possible to obtain relativistic frequency expression in closed-form for the system in question. Here, we observe that such a system decays in time without any real oscillation and the damped modes depend explicitly on the parameters of the oscillator coupling besides the parameters of the background geometry. This result allows us to analyse the influences of both oscillator coupling and spacetime parameters on the evolution of such a test field. Also, the results indicate that the spacetime background is stable under this perturbation field.

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

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.