03267nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001600165072002300181072001500204100008300219245013400302250001800436264006900454300006600523336002600589337002600615338003600641347002400677490007200701505021900773520136900992650003402361650001702395650002602412650002402438650003502462650002602497710003402523773002602557776003602583776003602619776003602655830007202691856004602763978-3-031-48994-5DE-He21320251030110918.0cr nn 008mamaa240110s2024    sz |    s    |||| 0|eng d  a97830314899457 a10.1007/978-3-031-48994-52doi 4aQC173.6 7aPHR2bicssc 7aSCI0610002bisacsh 7aPHR2thema1 aSilvervalle, Samuele.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aIsolated Objects in Quadratic Gravityh[electronic resource] :bFrom Action Principles to Observations /cby Samuele Silvervalle.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIII, 192 p. 71 illus., 40 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-50610 aIntroduction -- Quadratic Gravity -- Analytical approximations and numerical methods -- The Phase Diagram of Quadratic Gravity -- Solutions of Quadratic Gravity -- Quasi-normal Modes and Stability of the Solutions.  aOne 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. 0aGeneral relativity (Physics). 0aGravitation. 0aMathematical physics.14aGeneral Relativity.24aClassical and Quantum Gravity.24aMathematical Physics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303148993808iPrinted edition:z978303148995208iPrinted edition:z9783031489969 0aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-506140uhttps://doi.org/10.1007/978-3-031-48994-5