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arXiv 1909.01045astro-ph.HEgr-qchep-th
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标度化中子星双星中引力波的质量标度对应物

Massive scalar counterpart of gravitational waves in scalarized neutron star binaries

Jing Wang

摘要:

类似于居里温度以下铁磁体的自发磁化,一个中子星(NS),当致密性超过某个临界值时,可能会经历自发标量化,并表现出内部非平凡的标量位形。因此,外部时空发生了变化,出现了一个外部标量场,这随后触发了它的同伴的标量化。动力学的相互作用产生了一种与张量引力波相对应的引力标量。本文利用标量-张量理论证明了双中子星(DNS)和中子星-白矮星(NS-WD)的引力标量对应物具有质量。(1)由外部标量场会聚而产生的引力标量背景场在标度化DNS双星中扮演着引力标量对应物的角色,而类Higgs引力标量势中质量维常数的出现则导致了质量为普朗克标度量级的大质量引力标量对应物的出现;(ii)由于NS和WD的结合能不同而产生的偶极引力标量辐射场在标度化轨道收缩的NS-WD中起着引力标量对应物的作用,其围绕引力标量势的局部和标量能量密度相关的最小值振荡,并获得大约$10^{-21} ev/c^2$量级的质量。

英文摘要:

In analogy with spontaneous magnetization of ferromagnets below the Curie temperature, a neutron star (NS), with a compactness above a certain critical value, may undergo spontaneous scalarization and exhibit an interior nontrivial scalar configuration. Consequently, the exterior space-time is changed, and an external scalar field appears, which subsequently triggers a scalarization of its companion. The dynamical interplay produces a gravitational scalar counterpart of tensor gravitational waves. In this paper, we resort to scalar-tensor theory and demonstrate that the gravitational scalar counterpart from double neutron star (DNS) and neutron star-white dwarf (NS-WD) become massive. We report that (i) a gravitational scalar background field, arising from convergence of external scalar fields, plays the role of gravitational scalar counterpart in scalarized DNS binary, and the appearance of a mass-dimensional constant in Higgs-like gravitational scalar potential is responsible for a massive gravitational scalar counterpart with mass of order of Planck scale; (ii) a dipolar gravitational scalar radiated field, resulting from different binding energy of NS and WD, plays the role of gravitational scalar counterpart in scalarized orbital shrinking NS-WDs, which oscillates around a local and scalar-energy-density dependent minimum of the gravitational scalar potential and gains a mass of the order of about $10^{-21} ev/c^2$.

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