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Cold black holes and conformal continuations. (English) Zbl 1165.83004

Static spherically symmetric solutions for Einstein’s theory of gravity minimally coupled to a scalar field are elaborated. Among these solutions black holes are found with infinite horizon area and zero Hawking temperature. By a conformal transformation these solutions can be converted to solutions of scalar tensor theories of gravity. It is shown that these can lead to new singularities or vice versa.

MSC:

83C57 Black holes
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C75 Space-time singularities, cosmic censorship, etc.
83C15 Exact solutions to problems in general relativity and gravitational theory
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References:

[1] Misner C. W., Gravitation (1973)
[2] DOI: 10.1142/S0218271893000325 · Zbl 0935.83504 · doi:10.1142/S0218271893000325
[3] Bronnikov K. A., Gravit. Cosmol. 4 pp 128–
[4] DOI: 10.1016/S0375-9601(98)00133-9 · Zbl 0955.83018 · doi:10.1016/S0375-9601(98)00133-9
[5] Piazza F., J. Cosmol. Astropart. Phys. 0407 pp 004–
[6] DOI: 10.1103/PhysRevD.67.063504 · doi:10.1103/PhysRevD.67.063504
[7] DOI: 10.1103/PhysRevLett.91.071301 · doi:10.1103/PhysRevLett.91.071301
[8] Hannestad S., J. Cosmol. Astropart. Phys. 0409 pp 001–
[9] Alam U., Mon. Not. R. Astron. Soc. 354 pp 274–
[10] DOI: 10.1111/j.1365-2966.2004.08080.x · doi:10.1111/j.1365-2966.2004.08080.x
[11] DOI: 10.1103/PhysRevD.40.2564 · doi:10.1103/PhysRevD.40.2564
[12] Bronnikov K. A., Acta Phys. Polon. B 32 pp 3571–
[13] DOI: 10.1063/1.1519667 · Zbl 1060.83047 · doi:10.1063/1.1519667
[14] Bronnikov K. A., Gravit. Cosmol. 11 pp 305–
[15] Faraoni V., Fund. Cosmic Phys. 20 pp 121–
[16] DOI: 10.1103/PhysRevLett.96.251101 · Zbl 1228.83063 · doi:10.1103/PhysRevLett.96.251101
[17] DOI: 10.1103/PhysRevD.1.3209 · doi:10.1103/PhysRevD.1.3209
[18] Fisher I. Z., Zh. Eksp. Teor. Fiz. 18 pp 636–
[19] DOI: 10.1103/PhysRev.107.1157 · doi:10.1103/PhysRev.107.1157
[20] Bronnikov K. A., Acta Phys. Pol. B 4 pp 251–
[21] DOI: 10.1063/1.1666161 · doi:10.1063/1.1666161
[22] DOI: 10.1142/S0218271899000341 · Zbl 0971.83051 · doi:10.1142/S0218271899000341
[23] DOI: 10.1088/0264-9381/17/18/318 · Zbl 0971.83042 · doi:10.1088/0264-9381/17/18/318
[24] DOI: 10.7208/chicago/9780226870373.001.0001 · Zbl 0549.53001 · doi:10.7208/chicago/9780226870373.001.0001
[25] DOI: 10.1088/0264-9381/19/14/317 · Zbl 1002.83040 · doi:10.1088/0264-9381/19/14/317
[26] Bronnikov K. A., Gravit. Cosmol. 8 pp 107–
[27] Alvarenga F. G., Gravit. Cosmol. 10 pp 184–
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