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Abbott–Deser–Tekin Charge of Dilaton Black Holes with Squashed Horizons |
| Jun-Jin Peng1, Wen-Chang Xiang2, Shao-Hong Cai2** |
1School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550001
2School of Informatics, Guizhou University of Finance and Economics, Guiyang 550025
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| Cite this article: |
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Jun-Jin Peng, Wen-Chang Xiang, Shao-Hong Cai 2016 Chin. Phys. Lett. 33 080401 |
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Abstract We consider the conserved charge of static black holes with squashed horizons in the Einstein–Maxwell–dilaton theory via both the Abbott–Deser–Tekin (ADT) method and its off-shell generalization. We first make use of the original ADT method to compute the mass of the dilaton squashed black holes in terms of three different reference spacetimes, which are the asymptotic geometry, the flat background and the spacetime of the Kaluza–Klein monopole with boundary matched to the original metric, respectively. Each mass satisfies the first law of black hole thermodynamics, although the mass computed on the basis of the boundary matching the Kaluza–Klein monopole is different from that of the other two reference spacetimes. Then the mass of the black holes is evaluated through the off-shell generalized ADT method.
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Received: 29 April 2016
Published: 31 August 2016
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| PACS: |
04.50.Gh
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(Higher-dimensional black holes, black strings, and related objects)
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04.70.Bw
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(Classical black holes)
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04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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| [1] | Ishihara H and Matsuno K 2006 Prog. Theor. Phys. 116 417 | | [2] | Yazadjiev S S 2006 Phys. Rev. D 74 024022 | | [3] | Wang T 2006 Nucl. Phys. B 756 86 | | [4] | Nakagawa T, Ishihara H, Matsuno K and Tomizawa S 2008 Phys. Rev. D 77 044040 | | [5] | Tomizawa S, Ishihara H, Matsuno K and Nakagawa T 2009 Prog. Theor. Phys. 121 823 | | [6] | Tomizawa S and Ishibashi A 2008 Class. Quantum Grav. 25 245007 | | [7] | Tomizawa S 2010 arXiv:1009.3568[hep-th] | | [8] | Allahverdizadeh M and Matsuno K 2010 Phys. Rev. D 81 044001 | | [9] | Ji L Y, Chen S B and Jing J L 2014 J. High Energy Phys. 1403 089 | | Chen S B and Jing J L 2011 Phys. Lett. B 704 641 | | Sadeghi J, Naji J and Vaez H 2014 Phys. Lett. B 728 170 | | Matsuno K and Ishihara H 2009 Phys. Rev. D 80 104037 | | [10] | Nishikawa R and Kimura M 2010 Class. Quantum Grav. 27 215020 | | Kimura M, Murata K, Ishihara H and Soda J 2008 Phys. Rev. D 77 064015 | | [11] | Tomizawa S 2010 Phys. Rev. D 82 104047 | | [12] | He X, Wang B and Chen S B 2009 Phys. Rev. D 79 084005 | | He X, Chen S B, Wang B, Cai R G and Lin C Y 2008 Phys. Lett. B 665 392 | | [13] | Stetsko M M 2016 Eur. Phys. J. C 76 48 | | Li H L 2011 Chin. Phys. B 20 030402 | | Matsuno K and Umetsu K 2011 Phys. Rev. D 83 064016 | | Wei S W, Li R, Liu Y X and Ren J R 2010 Eur. Phys. J. C 65 281 | | Chen S B, Wang B and Su R K 2008 Phys. Rev. D 77 024039 | | Ishihara H and Soda J 2007 Phys. Rev. D 76 064022 | | [14] | Cai R G, Cao L M and Ohta N 2006 Phys. Lett. B 639 354 | | [15] | Kurita Y and Ishihara H 2008 Class. Quantum Grav. 25 085006 | | [16] | Kurita Y and Ishihara H 2007 Class. Quantum Grav. 24 4525 | | [17] | Saito M, Noda H and Tashiro T 2009 Int. J. Mod. Phys. A 24 2357 | | [18] | Peng J J and Wu S Q 2010 Nucl. Phys. B 828 273 | | [19] | Stelea C, Schleich K and Witt D 2008 Phys. Rev. D 78 124006 | | [20] | Wu S Q, Wen D, Jiang Q Q and Yang S Z 2013 Phys. Lett. B 726 404 | | [21] | Abbott L F and Deser S 1982 Nucl. Phys. B 195 76 | | Abbott L F and Deser S 1982 Phys. Lett. B 116 259 | | [22] | Deser S and Tekin B 2002 Phys. Rev. Lett. 89 101101 | | Deser S and Tekin B 2003 Phys. Rev. D 67 084009 | | [23] | Kim W, Kulkarni S and Yi S H 2013 Phys. Rev. Lett. 111 081101 | | [24] | Hyun S, Jeong J, Park S A and Yi S H 2014 Phys. Rev. D 90 104016 | | [25] | Peng J J 2016 Phys. Lett. B 752 191 | | Peng J J 2014 Eur. Phys. J. C 74 3156 | | [26] | Peng J J 2016 Int. J. Mod. Phys. A 31 1650060 | | [27] | Ahn B, Hyun S, Park S A and Yi S H 2016 Phys. Rev. D 93 024041 | | [28] | Hyun S, Park S A and Yi S H 2016 arXiv:1603.02530[hep-th] |
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