{"title":"f(R,T) 引力下的白矮星冷却","authors":"Snehasish Bhattacharjee","doi":"10.1142/s0217751x2450026x","DOIUrl":null,"url":null,"abstract":"<p>In recent times, astounding observations of both over- and under-luminous type Ia supernovae have emerged. These peculiar observations hint not only at surpassing the Chandrasekhar limit but may also suggest potential modifications in the physical attributes of their progenitors such as their cooling rate. This, in turn, can influence their temporal assessments and provide a compelling explanation for these intriguing observations. In this spirit, we investigate here the cooling process of white dwarfs in <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>f</mi><mo stretchy=\"false\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\"false\">)</mo></math></span><span></span> gravity with the simplest model <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>f</mi><mo stretchy=\"false\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\"false\">)</mo><mo>=</mo><mi>R</mi><mo>+</mo><mi>λ</mi><mi>T</mi></math></span><span></span>, where <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi></math></span><span></span> is the model parameter. Our modeling suggests that the cooling timescale of white dwarfs exhibits an inverse relationship with the model parameter <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi></math></span><span></span>. This unveils that in the realm of <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mi>f</mi><mo stretchy=\"false\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\"false\">)</mo></math></span><span></span> gravity, the energy release rate for white dwarfs increases as <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi></math></span><span></span> increases. Furthermore, we also report that the luminosity of the white dwarfs also depends on <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi></math></span><span></span> and an upswing in <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi></math></span><span></span> leads to an amplification in the luminosity. As a result, utilizing white dwarf luminosity could possibly define bounds on <span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mi>f</mi><mo stretchy=\"false\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\"false\">)</mo></math></span><span></span> gravity models.</p>","PeriodicalId":50309,"journal":{"name":"International Journal of Modern Physics a","volume":"47 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"White dwarf cooling in f(R,T) gravity\",\"authors\":\"Snehasish Bhattacharjee\",\"doi\":\"10.1142/s0217751x2450026x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In recent times, astounding observations of both over- and under-luminous type Ia supernovae have emerged. These peculiar observations hint not only at surpassing the Chandrasekhar limit but may also suggest potential modifications in the physical attributes of their progenitors such as their cooling rate. This, in turn, can influence their temporal assessments and provide a compelling explanation for these intriguing observations. In this spirit, we investigate here the cooling process of white dwarfs in <span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>f</mi><mo stretchy=\\\"false\\\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span> gravity with the simplest model <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>f</mi><mo stretchy=\\\"false\\\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\\\"false\\\">)</mo><mo>=</mo><mi>R</mi><mo>+</mo><mi>λ</mi><mi>T</mi></math></span><span></span>, where <span><math altimg=\\\"eq-00005.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi></math></span><span></span> is the model parameter. Our modeling suggests that the cooling timescale of white dwarfs exhibits an inverse relationship with the model parameter <span><math altimg=\\\"eq-00006.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi></math></span><span></span>. This unveils that in the realm of <span><math altimg=\\\"eq-00007.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>f</mi><mo stretchy=\\\"false\\\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span> gravity, the energy release rate for white dwarfs increases as <span><math altimg=\\\"eq-00008.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi></math></span><span></span> increases. Furthermore, we also report that the luminosity of the white dwarfs also depends on <span><math altimg=\\\"eq-00009.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi></math></span><span></span> and an upswing in <span><math altimg=\\\"eq-00010.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi></math></span><span></span> leads to an amplification in the luminosity. As a result, utilizing white dwarf luminosity could possibly define bounds on <span><math altimg=\\\"eq-00011.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>f</mi><mo stretchy=\\\"false\\\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span> gravity models.</p>\",\"PeriodicalId\":50309,\"journal\":{\"name\":\"International Journal of Modern Physics a\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Physics a\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217751x2450026x\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics a","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217751x2450026x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
摘要
近来,出现了对亮度过高和过低的 Ia 型超新星的惊人观测。这些奇特的观测结果不仅暗示它们超越了钱德拉塞卡极限,而且还可能表明它们的原生体的物理属性发生了潜在的变化,比如它们的冷却速度。这反过来又会影响它们的时间评估,并为这些有趣的观测结果提供令人信服的解释。本着这种精神,我们在这里用最简单的模型f(R,T)=R+λT来研究白矮星在f(R,T)引力下的冷却过程,其中λ是模型参数。我们的建模表明,白矮星的冷却时间尺度与模型参数λ呈反比关系,这揭示了在f(R,T)引力条件下,白矮星的能量释放率随着λ的增大而增大。此外,我们还报告了白矮星的光度也取决于 λ,λ 的上升会导致光度的放大。因此,利用白矮星的光度有可能定义 f(R,T) 引力模型的边界。
In recent times, astounding observations of both over- and under-luminous type Ia supernovae have emerged. These peculiar observations hint not only at surpassing the Chandrasekhar limit but may also suggest potential modifications in the physical attributes of their progenitors such as their cooling rate. This, in turn, can influence their temporal assessments and provide a compelling explanation for these intriguing observations. In this spirit, we investigate here the cooling process of white dwarfs in gravity with the simplest model , where is the model parameter. Our modeling suggests that the cooling timescale of white dwarfs exhibits an inverse relationship with the model parameter . This unveils that in the realm of gravity, the energy release rate for white dwarfs increases as increases. Furthermore, we also report that the luminosity of the white dwarfs also depends on and an upswing in leads to an amplification in the luminosity. As a result, utilizing white dwarf luminosity could possibly define bounds on gravity models.
期刊介绍:
Started in 1986, IJMPA has gained international repute as a high-quality scientific journal. It consists of important review articles and original papers covering the latest research developments in Particles and Fields, and selected topics intersecting with Gravitation and Cosmology. The journal also features articles of long-standing value and importance which can be vital to research into new unexplored areas.