Buchdahl’s theorem

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August undefined, 2024

WebHans Adolf Buchdahl (7 July 1919 – 7 January 2010) was a German-born Australian physicist. He contributed to general relativity, thermodynamics and optics. He is … WebJun 20, 2024 · Buchdahl theorem [ 1] addresses the question which states that no uniform density stars with radii smaller than 9/8 M can exist. Otherwise, the central pressure diverges. In other words, for a stellar configuration in equilibrium, the Buchdahl bound implies 2M/R <8/9.

Hans Adolf Buchdahl - Wikipedia

WebBuchdahl’s theorem has been extended in various ways. It has been generalised to includebothchargeandacosmologicalconstant,seeforexample[2–4]andreferences … WebIn general relativity, Buchdahl's theorem, named after Hans Adolf Buchdahl,[1] makes more precise the notion that there is a maximal sustainable density for ordinary … huntingburg public library huntingburg in

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WebNicholas Buchdahl's 23 research works with 477 citations and 356 reads, including: Polystable bundles and representations of their automorphisms. ... (cf. Theorem 4.1 and … Webdahl coefﬁcients [3], Buchdahl–Rimmer coefﬁcients,orBuchdahl’s glass dispersion coefﬁcients testify to the ongoing importance of his work in geometrical optics. His interest in thermodynamics at ﬁrst was focussed on ﬁtting Carathéodory’s axi-omatic formulation better to a physicist’s intuition. In an approach expressed in eight WebBuchdahl’s theorem [1] precludes the existence of nonsingular compact objects with radius smaller than 9=8 the Schwarzschild radius under the assumptions of spherical symmetry, isotropic stress, and nonnegative trace of the energy momentum tensor. Compact nonsingular dark energy stars are possible because the nonnegative huntingburg trailer repair

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Hans A. Buchdahl (7.7.1919–7.1.2010) - link.springer.com

WebApr 12, 2012 · An important question is to determine an upper bound on the gravitational red shift of spherically symmetric static objects. In the case with vanishing cosmological constant and charge this is equivalent to determining an upper bound on the compactness ratio M/R, where M is the ADM mass and R the area radius of the boundary of the static object. . … WebHans Adolf Buchdahl (7 July 1919 – 7 January 2010) was a German-born Australian physicist. He contributed to general relativity, thermodynamics and optics. [1] [2] He is particularly known for developing f (R) gravity [3] and Buchdahl's theorem on the Schwarzschild's solution for the inside of a spherical star. [4] Biography [ edit] marvel\u0027s punisher season 2Webitational redshift [10]. In [11] Buchdahl’s theorem wasextended to d-dimensions, where d≥ 4 and this was generalisedto include a non-zerocosmologicalconstant in [12]. Bounds were also considered without assuming Buchdahl’s asuumptions in d-dimensional spacetimes in [10]. Gravity in higher dimensions can be extended further than simply ... marvel\u0027s power pack

"WebDas Buchdahl-Theorem ist nützlich, wenn man nach Alternativen zu Schwarzen Löchern sucht. Solche Versuche sind oft vom Informationsparadox inspiriert ; ein Weg, die dunkle … " - Buchdahl’s theorem

Buchdahl’s theorem

Beyond Schwarzschild–de Sitter spacetimes. II. An exact non ...

WebJan 27, 2024 · 2. lugita15 said: Where can I find an accessible proof of Buchdahl's theorem, which states that in general relativity GM/ (c^2*R) must be less than 4/9? Any help would be greatly appreciated. Thank You in Advance. If I remember correctly, Schutz has a chapter (or at least a section) on this. I don't have my copy with me at the moment so I …

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In general relativity, Buchdahl's theorem, named after Hans Adolf Buchdahl, makes more precise the notion that there is a maximal sustainable density for ordinary gravitating matter. It gives an inequality between the mass and radius that must be satisfied for static, spherically symmetric matter configurations … See more Given a static, spherically symmetric solution to the Einstein equations (without cosmological constant) with matter confined to areal radius $${\displaystyle R}$$ that behaves as a perfect fluid with a density that … See more Extensions to Buchdahl's theorem generally either relax assumptions on the matter or on the symmetry of the problem. For instance, by introducing anisotropic matter or rotation. … See more The Buchdahl theorem is useful when looking for alternatives to black holes. Such attempts are often inspired by the information paradox; a way to explain (part of) the dark matter; or to criticize that observations of black holes are based on excluding known … See more Webwell-known Buchdahl stability theorem, [1], states, loosely speaking, that when the surface of a star lies within 9=8ths of its Schwarzschild radius, then the star is unstable to …

WebApr 4, 2024 · The Buchdahl parameter k is a new characteristic of pure R2 gravity, a higher-derivative theory. By venturing that the Buchdahl parameter should be a universal hallmark of higher-derivative gravity at large, in this paper we seek to extend the concept to the quadratic action R2+γ(R−2Λ). WebMay 1, 1997 · We refine the Buchdahl 9/8 ths stability theorem for stars by describing quantitatively the behavior of solutions to the Oppenheimer–Volkoff equations when the star surface lies inside 9/8 ths...

WebIn general relativity, Buchdahl's theorem, named after Hans Adolf Buchdahl, makes more precise the notion that there is a maximal sustainable density for ordinary gravitating … WebDec 12, 2010 · This determines the fact that involutive structure includes a pullback tensorized with line bundle Λ=ε η * V. If pullback usually works owing to Buchdahl's theorem, in involutive case it must ...

WebJan 2, 2024 · While Buchdahl's theorem sets an upper bound on compactness, further no-go results rely on the existence of two light rings, the inner of which has been …

WebNicholas Buchdahl's 23 research works with 477 citations and 356 reads, including: Polystable bundles and representations of their automorphisms. ... (cf. Theorem 4.1 and Corollary 4.1) ... huntingburg real estateWebIn general relativity, Buchdahl's theorem, named after Hans Adolf Buchdahl, [1] makes more precise the notion that there is a maximal sustainable density for ordinary … huntingburg to owensboroWebJan 27, 2024 · 2. lugita15 said: Where can I find an accessible proof of Buchdahl's theorem, which states that in general relativity GM/ (c^2*R) must be less than 4/9? Any … huntingburg smile center