We study polar quasinormal modes of relativistic stars in scalar-tensor theories, where we include a massive gravitational scalar field and employ the standard Brans-Dicke coupling function. For the potential of the scalar field we consider a simple mass term as well as a potential associated with R² gravity. The presence of the scalar field makes the spectrum of quasinormal modes much richer than the spectrum in General Relativity. We here investigate radial modes (l = 0) and quadrupole modes (l = 2). The general relativistic l = 0 normal modes turn into quasinormal modes in scalar-tensor theories, that are able to propagate outside of the stars. In addition to the pressure-led modes new scalar-led ϕ-modes arise. We analyze the dependence of the quasinormal mode frequencies and decay times on the scalar field mass.

我们在标量张量理论中研究相对论恒星的极地准正规模式，其中我们包括一个巨大的引力标量场并采用标准的 Brans-Dicke 耦合函数。对于标量场的势，我们考虑一个简单的质量项以及与电阻²重力。标量场的存在使得准正规模式的频谱比广义相对论中的频谱丰富得多。我们在这里研究径向模式（升 = 0) 和四极杆模式 (升= 2)。广义相对论升= 0 正常模式在标量张量理论中变成准正常模式，能够在恒星之外传播。除了压力主导的模式之外，新的标量主导的φ-模式出现。我们分析了准正规模式频率和衰减时间对标量场质量的依赖性。