Noncommutative scalar quasinormal modes of the Reissner-Nordstrom black hole

被引:25
|
作者
Ciric, Marija Dimitrijevic [1 ]
Konjik, Nikola [1 ]
Samsarov, Andjelo [2 ]
机构
[1] Univ Belgrade, Fac Phys, Studentski Trg 12, Belgrade 11000, Serbia
[2] Rudjer Boskovic Inst, Div Theoret Phys, Bijenicka 54, Zagreb 10002, Croatia
基金
欧盟地平线“2020”;
关键词
noncommutative scalar field; noncommutative gauge theory; Reissner-Nordstrom black hole; black hole quasinormal modes; NORMAL FREQUENCIES; SELF-INTERACTION; SCHWARZSCHILD; FIELD; SPACETIME; RADIATION;
D O I
10.1088/1361-6382/aad201
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner-Nordstrom black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC) deformation of a scalar field, minimally coupled to a classical (commutative) Reissner-Nordstrom background. The deformation is performed via a particularly chosen Killing twist to ensure that the geometry remains undeformed (commutative). An action describing a noncommutative scalar field minimally coupled to the RN geometry is manifestly invariant under the deformed U(1)(*) gauge symmetry group. We find the quasinormal mode solutions of the equations of motion governing the matter content of the model in some particular range of system parameters which corresponds to a near extremal limit. In addition, we obtain a well defined analytical condition which allows for a detailed numerical analysis. Moreover, there exists a parameter range, rather restrictive though, which allows for obtaining a QNMs spectrum in a closed analytic form. We also argue within a semiclassical approach that NC deformation does not affect the Hawking temperature of thermal radiation.
引用
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页数:30
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