Mu-Lin Yan

Publications (8)0.85 Total impact

• Source

  Available from: arxiv.org

  Article: Quantum entropy of the Kerr black hole arising from gravitational perturbation

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using Null tetrad and \'t Hooft\'s brick-wall model. It is shown that effect of the graviton\'s spins on the subleading correction is dependent of the square of the spins and the angular momentum per unit mass of the black hole, and contribution of the logarithmic term to the entropy will be positive, zero, and negative for different value of $a/r_+$. Comment: 8 pages, 1 figure, Latex. to appear in Phys. Rev. D
  04/2001;
• Source

  Available from: ArXiv

  Article: Effect of spin on the quantum entropy of black holes

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: By using the Newman-Penrose formalism and ’t Hooft brick wall model, the quantum entropies of the Kerr-Newman black hole due to the Dirac and electromagnetic fields are calculated and the effects of the spins of the photons and Dirac particles on the entropies are investigated. It is shown that the entropies depend only on the square of the spins of the particles and the contribution of the spins is dependent on the rotation of the black hole, except that different fields obey different statistics.
  Phys. Rev. D. 03/2001; 63(8).
• Source

  Available from: ArXiv

  Article: Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: With Carlip's boundary conditions, a standard Virasoro subalgebra with corresponding central charge for stationary dilaton black hole obtained in the low-energy effective field theory describing string is constructed at a Killing horizon. The statistical entropy of stationary dilaton black hole yielded by standard Cardy formula agree with its Bekenstein-Hawking entropy only if we take period $ T$ of function $v$ as the periodicity of the Euclidean black hole. On the other hand, if we consider first-order quantum correction then the entropy contains a logarithmic term with a factor $-{1/2}$, which is different from Kaul and Majumdar's one, $-{3/2}$. We also show that the discrepancy is not just for the dilaton black hole, but for any one whose corresponding central change takes the form $\frac{c}{12}= \frac{A_H}{8\pi G}\frac{2\pi}{\kappa T}$.
  06/2000;
• Source

  Available from: arxiv.org

  Article: Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's boundary conditions. For the Kerr-Newman black hole and the Kerr-Newman-AdS black hole, the density of states determined by conformal fields theory methods yields the statistical entropy which agrees with the Bekenstein-Hawking entropy. Comment: 12 pages, no figure, RevTex
  04/2000;
• Article: Statistical Mechanical and Thermodynamic Entropies of the Einstein-Maxwell Dilaton-Axion Black Hole

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: We discuss the connection between the statistical mechanical andthermodynamic entropies due to the nonminimally coupled scalar fields on theEinstein-Maxwell dilaton-axion black hole spacetime. It is demonstrated thatalthough the statistical mechanical entropy and one-loop correction to thethermodynamic entropy are equivalent for coupling 0, the presence ofthe bare pure geometrical contribution excludes the possibility to identify thestatistical mechanical entropy with the thermodynamic entropy if we use thestandard renormalization scheme.
  International Journal of Theoretical Physics 01/2000; 39(2):239-251. · 0.85 Impact Factor
• Source

  Available from: arxiv.org

  Article: Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the Dirichlet condition is replaced by a scattering ansatz for the field functions at the horizon and with Pauli-Villars regularization scheme, an expression for the statistical-mechanical entropy arising from the nonminimally coupled scalar fields is obtained. Then, by using the conical singularity method Mann and Solodukhin's result for the Kerr-Newman black hole (Phys. Rev. D54, 3932(1996)) is extended to the general stationary black hole and the nonminimally coupled scalar field. We last shown by comparing the two results that the statistical-mechanical entropy and one-loop correction to the thermodynamical entropy are equivalent for coupling $\xi\leq 0$. After renormalization, a relation between the two entropies is given. Comment: 18 pages, Latex, nofigue. Accepted by Phys. Rev. D
  07/1999;
• Source

  Available from: ArXiv

  Article: Quantum entropy of a nonextreme stationary axisymmetric black hole due to a minimally coupled quantum scalar field

  Jiliang Jing, Mu-Lin Yan
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  ABSTRACT: By using the ’t Hooft “brick wall” model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from minimally coupled scalar fields which rotate with azimuthal angular velocity Ω0=ΩH (ΩH is the angular velocity of the black hole horizon) in general four-dimensional nonextreme stationary axisymmetric black hole space-time. We also show, for the Kerr-Newman and the Einstein-Maxwell dilaton-axion black holes, that the statistical-mechanical entropy obtained from our derivation and the quantum thermodynamical entropy by the conical singularity method are equivalent.
  Phys. Rev. D. 04/1999; 60(8).
• Article: Entropy of the Semiclassical Black Hole in Thermal Equilibrium with a Scalar Field

  Jiliang Jing, Mu-Lin Yan
  -1:351.