Chinese Journal of Physics[V36-No.5]

VOLUME 36, NUMBER 5

OCTOBER 1998

Magnetically Charged Black Holes In Induced Gravity
W. B. Dai¹, W. F. Kao², and Shang-Yung Wang¹ ¹ Department of Physics, Tsing Hua University, Hsin Chu, Taiwan 300, R.O.C. ² Institute of Physics, Chao Tung University, Hsin Chu, Taiwan 300, R.O.C. (Received April 23, 1998)
It is shown that the regular SO₃ non-abelian spherically symmetric monopole solution does not exist in an induced Einstein-Yang-Mills-Higgs model. It is also shown that Higgs scalar hair cannot exist in the presence of a black hole event horizon in this model. The corresponding global behavior of the gauge field is analyzed in a black hole background. In particular, it is shown that a non-trivial non-abelian monopole solution exists only if the radius of the event horizon is smaller than the characteristic radius of the classical monopole. PACS: 04.70.Bw; 11.15.-q; 11.15.Ex; 14.80.Hv

Magnetically Charged Black Holes In Induced Gravity

W. B. Dai¹, W. F. Kao², and Shang-Yung Wang¹

¹ Department of Physics, Tsing Hua University, Hsin Chu, Taiwan 300, R.O.C.
² Institute of Physics, Chao Tung University, Hsin Chu, Taiwan 300, R.O.C.

(Received April 23, 1998)

It is shown that the regular SO₃ non-abelian spherically symmetric monopole solution does not exist in an induced Einstein-Yang-Mills-Higgs model. It is also shown that Higgs scalar hair cannot exist in the presence of a black hole event horizon in this model. The corresponding global behavior of the gauge field is analyzed in a black hole background. In particular, it is shown that a non-trivial non-abelian monopole solution exists only if the radius of the event horizon is smaller than the characteristic radius of the classical monopole.

PACS: 04.70.Bw; 11.15.-q; 11.15.Ex; 14.80.Hv

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