Isolated Objects in Quadratic Gravity: From Action Principles to Observations

Silvervalle, Samuele

  • 出版商: Springer
  • 出版日期: 2024-01-11
  • 售價: $6,140
  • 貴賓價: 9.5$5,833
  • 語言: 英文
  • 頁數: 192
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031489934
  • ISBN-13: 9783031489938
  • 海外代購書籍(需單獨結帳)

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商品描述

One of the main unanswered question of modern Physics is "How does gravity behave at small scales?". The aim of this thesis is to illustrate in a comprehensive but accessible way how to look for deviations from Einstein's theory of General Relativity in this regime, looking at the simplest celestial bodies: static and spherically symmetric ones.

With a conservative and bottom-up approach, at smaller scales the first corrections to the action of General Relativity are generally considered to be terms quadratic in the curvature tensors; while these modifications do not cure the inconsistency between gravity and quantum mechanics, the solutions of this theory are plausible candidates to be the first-order corrections of the classical ones.

Even with such simple modifications, a striking picture emerges from the study of isolated objects: the unique Schwarzschild solution of General Relativity is only a rare bird in the set of solutions, with non-Schwarzschild black holes, wormholes and naked singularities appearing as possible substitutes.

Tailored to graduate students and researchers entering this field, this thesis shows how to construct these new solutions from action principles, how to characterize their metric, how to study their physical properties, such as their stability or Thermodynamics, and how to look for phenomenological signatures.

商品描述(中文翻譯)

現代物理學中一個主要未解之謎是「重力在小尺度下的行為如何?」本論文的目的是以全面且易於理解的方式,探討如何在這個範疇中尋找與愛因斯坦的廣義相對論有所不同的現象,並以最簡單的天體為例:靜態且球對稱的天體。

以保守且自下而上的方法,小尺度下對於廣義相對論的第一個修正通常被認為是曲率張量的二次項;雖然這些修正並未解決重力與量子力學之間的不一致性,但這個理論的解是可能成為經典解的一階修正的合理候選者。

即使只有這樣簡單的修正,從孤立物體的研究中浮現出一個引人注目的圖像:在解集合中,獨特的史瓦西度解只是罕見的存在,非史瓦西度的黑洞、蟲洞和裸奇異點成為可能的替代品。

本論文針對研究生和進入這個領域的研究人員,展示如何從作用原理建構這些新解,如何描述它們的度量,如何研究它們的物理特性(如穩定性或熱力學),以及如何尋找現象學的特徵。

作者簡介

Samuele Silveravalle was born on the 20th of December 1992 in Milan, Italy, where he received a Bachelor's degree in Physics at University of Milano Bicocca in the spring of 2015, and where he took the majority of his Master's studies in theoretical Physics. Intrigued by the Renormalization Group approach to quantum gravity, he came into contact with Alfio Bonanno of the Catania Astrophysical Observatory, contact that led him to spend seven months in Sicily to study black hole solutions in quadratic gravity for his thesis. After obtaining a Master's degree in spring 2018, he spent three months with Luciano Rezzolla's group at the Goethe University of Frankfurt studying the stability of isothermal clusters in modified gravity, and a few months working as a High School teacher in Sesto San Giovanni. In autumn 2019 he obtained a Ph.D. scholarship from TIFPA-INFN, and enrolled in the XXXV cycle of the Ph.D. program in Physics at University of Trento under the supervision of MassimilianoRinaldi. In Trento he kept working on compact object solutions in quadratic gravity, and investigated some of the effects of imposing a scale symmetry to this theory, and some aspects of Yang-Mills fields in cosmology. In June 2023 he obtained his doctoral degree with a thesis entitled "Isolated objects in quadratic gravity".

作者簡介(中文翻譯)

Samuele Silveravalle於1992年12月20日出生於意大利米蘭,在那裡於2015年春季獲得米蘭比科卡大學物理學學士學位,並在那裡進行了大部分的理論物理碩士學習。對量子引力的重整化群方法感到興趣後,他與卡塔尼亞天體物理觀測所的Alfio Bonanno取得了聯繫,這使他花了七個月在西西里島研究二次引力中的黑洞解,作為他的論文。在2018年春季獲得碩士學位後,他在法蘭克福歌德大學的Luciano Rezzolla小組中度過了三個月,研究了修改引力中等溫星團的穩定性,並在Sesto San Giovanni擔任高中教師幾個月。2019年秋季,他獲得了TIFPA-INFN的博士獎學金,並在Trento大學攻讀物理學博士學位的第XXXV學期,由Massimiliano Rinaldi指導。在特倫托,他繼續研究二次引力中的緊湊物體解,並研究了對這一理論施加尺度對稱性的一些效應,以及宇宙學中的楊-米爾斯場的一些方面。2023年6月,他以一篇名為“二次引力中的孤立物體”的論文獲得博士學位。