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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

As of 15 August 2026, this Paper Citation Record lists 100 of 299 outbound references and 2 inbound Pith citation observations for arXiv:1908.10806.

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1908.10806 v1

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measured 100 of 299 reference resolution

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100 of 299 outbound references displayed

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This paper cites (A1) In that case, the kinetic energy density and the pressure are give n by ǫkin = ∫ f p2 2m dp and P = 1 3 ∫ f p2 m dp.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (A1) In that case, the kinetic energy density and the pressure are give n by ǫkin = ∫ f p2 2m dp and P = 1 3 ∫ f p2 m dp

Reference 1

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This paper cites generalized thermodynamics.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas generalized thermodynamics

Reference 2

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This paper cites II and III.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas II and III

Reference 3

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This paper cites We first consider the Newtonian gravity case.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We first consider the Newtonian gravity case

Reference 4

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work

Reference 5

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work

Reference 6

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This paper cites (E1) An extensive variable (energy, entropy,...) is proportional to the ab solute size of the system.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (E1) An extensive variable (energy, entropy,...) is proportional to the ab solute size of the system

Reference 7

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This paper cites (C3) with Eq.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (C3) with Eq

Reference 8

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This paper cites generalized thermodynamics.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas generalized thermodynamics

Reference 9

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This paper cites Milne, MNRAS 91, 4 (1930).

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Milne, MNRAS 91, 4 (1930)

Reference 10

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This paper cites To solve this maximization problem, we proceed in two steps.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas To solve this maximization problem, we proceed in two steps

Reference 11

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This paper cites A simple scaling of this equation of state can be obtained in the nonrela tivistic and ultrarelativistic limits.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas A simple scaling of this equation of state can be obtained in the nonrela tivistic and ultrarelativistic limits

Reference 12

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This paper cites In the microcan onical ensemble, the statistical equilibrium state is obtained by maximizing the entropy S[f ] at fixed mass-energy M c2 and particle number N.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas In the microcan onical ensemble, the statistical equilibrium state is obtained by maximizing the entropy S[f ] at fixed mass-energy M c2 and particle number N

Reference 13

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This paper cites These equations conserve the mass M [see Eq.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas These equations conserve the mass M [see Eq

Reference 14

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We restrict ourselves to spherically symmetric systems

Reference 15

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This paper cites micro canonical.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas micro canonical

Reference 16

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas microcanonical

Reference 17

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I1) This corresponds to the Bose-Einstein statistics in the ultrarelativ istic limit ( E = pc) and with a vanishing chemical potential ( µ = 0)

Reference 18

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This paper cites (I4) into Tolman’s equation of hydrostatic equilibrium (102) , we get d ln P dr = −2 dν dr.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I4) into Tolman’s equation of hydrostatic equilibrium (102) , we get d ln P dr = −2 dν dr

Reference 19

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This paper cites (I8), the entropy of the black-body radiation is p roportional to the particle number: S = λN kB with λ = 4π4 90ζ(3).

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I8), the entropy of the black-body radiation is p roportional to the particle number: S = λN kB with λ = 4π4 90ζ(3)

Reference 20

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This paper cites the weight o f heat and thermal equilibrium in general relativity.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas the weight o f heat and thermal equilibrium in general relativity

Reference 21

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This paper cites On the thermodynamical equilibrium of fluids in gra vitational fields.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas On the thermodynamical equilibrium of fluids in gra vitational fields

Reference 22

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This paper cites Chandrasekhar, The Observatory 57, 93 (1934).

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, The Observatory 57, 93 (1934)

Reference 23

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This paper cites We assume that T d(s/n) = 0.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We assume that T d(s/n) = 0

Reference 24

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This paper cites The relations of Appendix K 1 remain valid with u or with ǫ.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas The relations of Appendix K 1 remain valid with u or with ǫ

Reference 25

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work

Reference 26

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This paper cites Caloric curves of classical self-gravitating systems in general relativity.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Caloric curves of classical self-gravitating systems in general relativity

Reference 27

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This paper cites Caloric curves of self-gravitating fermions in general relativity.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Caloric curves of self-gravitating fermions in general relativity

Reference 28

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This paper cites Fermi, Rend.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fermi, Rend

Reference 29

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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fermi, Z

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This paper cites Dirac, Proc.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Dirac, Proc

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This paper cites Fowler, MNRAS, 87, 114 (1926).

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fowler, MNRAS, 87, 114 (1926)

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This paper cites Eddington, The Internal Constitution of the Stars (First Edition, Cambridge University Press, 1926).

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Eddington, The Internal Constitution of the Stars (First Edition, Cambridge University Press, 1926)

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This paper cites Pauli, Z.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Pauli, Z

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This paper cites Stoner, Phil.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, Phil

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This paper cites The Early Scientific Contributions of J. Robert Oppenheimer: Why Did the Scientific Community Miss the Black Hole Opportunity?.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas The Early Scientific Contributions of J. Robert Oppenheimer: Why Did the Scientific Community Miss the Black Hole Opportunity?

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This paper cites Chandrasekhar, Phil.

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, Phil

Reference 37

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Observation 6933dd15-d0c3-48d8-a590-9b321a99d6de · outbound

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Observation c0ec2c02-9e38-46fd-aff5-7e1dcc10ddd6 · outbound

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Observation 93277604-c54e-41d6-b2bb-620a8e7a8150 · outbound

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Fermionic Dark Matter spikes: origin and growth of Black Hole seeds Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

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Observation bef6f00a-2ab1-42f9-a101-c49883921b4e · inbound

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Self-gravitating quantum stars with a globally relevant Bohm potential Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

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