From white dwarfs to black holes (commemorating the 70th anniversary of the theory of compact objects)

Zakharov, A. F.

doi:10.1002/1521-3994(200212)323:6<538::aid-asna538>3.0.co;2-f

Astron. Nachr.

2002

DOI: 10.1002/1521-3994(200212)323:6<538::aid-asna538>3.0.co;2-f

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From white dwarfs to black holes (commemorating the 70th anniversary of the theory of compact objects)

A. F. Zakharov

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2007

2023

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Cited by 2 publications

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“…However, progressively, his early investigations on white dwarf stars were extended in general relativity to the case of neutron stars (Oppenheimer & Volkoff 1939 [16]) and finally led to the concept of "black holes", a term coined by Wheeler in 1967. Without the dispute with Eddington, this ultimate stage of matter resulting from gravitational collapse could have been predicted much earlier from the discovery of Chandrasekhar [17].…”

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White dwarf stars inDdimensions

Chavanis

2007

Phys. Rev. D

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We derive the mass-radius relation of relativistic white dwarf stars (modeled as a self-gravitating degenerate Fermi gas at T = 0) in a D-dimensional universe and study the influence of the dimension of space on the laws of physics when we combine quantum mechanics, special relativity and gravity. We exhibit characteristic dimensions D = 1, D = 2, D = 3, D = (3 + √ 17)/2, D = 4, D = 2(1 + √ 2) and show that quantum mechanics cannot balance gravitational collapse for D ≥ 4. This is similar to a result found by Ehrenfest (1917) at the atomic level for Coulomb forces (in Bohr's model) and for the Kepler problem. This makes the dimension of our universe D = 3 very particular with possible implications regarding the anthropic principle. We discuss some historic aspects concerning the discovery of the Chandrasekhar (1931) limiting mass in relation to previous investigations by Anderson Stoner (1930). We also propose different derivations of the stability limits of polytropic distributions and consider their application to classical and relativistic white dwarf stars.PACS numbers: 05.90.+m; 95.30.Sf

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White dwarf stars inDdimensions

Chavanis

2007

Phys. Rev. D

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Shadows near supermassive black holes: From a theoretical concept to GR test

Zakharov

2023

Int. J. Mod. Phys. D

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General relativity (GR) passed many astronomical tests but in majority of them GR predictions have been tested in a weak gravitational field approximation. Around 50 years ago a shadow was introduced by Bardeen as a purely theoretical concept but due to an enormous progress in observational and computational facilities this theoretical prediction has been confirmed and the most solid argument for an existence of supermassive black holes in Sgr A* and M87* has been obtained.

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From white dwarfs to black holes (commemorating the 70th anniversary of the theory of compact objects)

Cited by 2 publications

References 22 publications

White dwarf stars inDdimensions

White dwarf stars inDdimensions

Shadows near supermassive black holes: From a theoretical concept to GR test

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