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EVH black hole solutions with higher derivative corrections

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Abstract

We analyze the effect of higher derivative corrections to the near horizon geometry of the extremal vanishing horizon (EVH) black hole solutions in four dimensions. We restrict ourselves to a Gauss–Bonnet correction with a dilation dependent coupling in an Einstein–Maxwell-dilaton theory. This action may represent the effective action as it arises in tree level heterotic string theory compactified to four dimensions or the K3 compactification of type II string theory. We show that EVH black holes, in this theory, develop an AdS3 throat in their near horizon geometry.

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References

  1. A. Strominger, C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy. Phys. Lett. B 379, 99 (1996) [arXiv:hep-th/9601029]

    Article  MathSciNet  ADS  Google Scholar 

  2. M. Guica, T. Hartman, W. Song, A. Strominger, The Kerr/CKT correspondence. Phys. Rev. D 80, 124008 (2009) [arXiv:0809.4266 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  3. H. Lu, J. Mei, C.N. Pope, Kerr/CFT correspondence in diverse dimensions, arXiv:0811.2225 [hep-th]

  4. T. Hartman, K. Murata, T. Nishioka, A. Strominger, CFT duals for extreme black holes, arXiv:0811.4393 [unknown]

  5. J.-J. Peng, S.-Q. Wu, Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons. Nucl. Phys. B 828, 273–288 (2010) [arXiv:0911.5070 [hep-th]]

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. R. Li, M.-F. Li, J.-R. Ren, Entropy of Kaluza-Klein black hole from Kerr/CFT correspondence. Phys. Lett. B 691, 249–253 (2010) [arXiv:1004.5335 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  7. B. Chen, J. Long, On holographic description of the Kerr–Newman–AdS–dS black holes. J. High Energy Phys. 1008, 065 (2010) [arXiv:1006.0157 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  8. J. Simon, Extremal black holes, holography and coarse graining. Int. J. Mod. Phys. A 26, 1903 (2011) [arXiv:1106.0116 [hep-th]]

    Article  ADS  Google Scholar 

  9. O.J.C. Dias, H.S. Reall, J.E. Santos, Kerr-CFT and gravitational perturbations. J. High Energy Phys. 0908, 101 (2009) [arXiv:0906.2380 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  10. A.J. Amsel, G.T. Horowitz, D. Marolf, M.M. Roberts, No dynamics in the extremal Kerr throat. J. High Energy Phys. 0909, 044 (2009) [arXiv:0906.2376 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  11. A. Sen, Quantum entropy function from AdS(2)/CFT(1) correspondence. Int. J. Mod. Phys. A 24, 4225–4244 (2009) [arXiv:0809.3304 [hep-th]]

    Article  ADS  MATH  Google Scholar 

  12. A. Sen, State operator correspondence and entanglement in AdS2/CFT1, arXiv:1101.4254 [hep-th]

  13. V. Balasubramanian, J. de Boer, M.M. Sheikh-Jabbari, J. Simon, What is a chiral 2d CFT? And what does it have to do with extremal black holes? J. High Energy Phys. 1002, 017 (2010) [arXiv:0906.3272 [hep-th]]

    Article  ADS  Google Scholar 

  14. J. de Boer, M.M. Sheikh-Jabbari, J. Simon, Near horizon limits of massless BTZ and their CFT duals, arXiv:1011.1879 [hep-th]

  15. M.M. Sheikh-Jabbari, H. Yavartanoo, EVH black holes, AdS3 throats and EVH/CFT proposal. J. High Energy Phys. 1110, 013 (2011) [arXiv:1107.5705 [hep-th]]

    Article  ADS  Google Scholar 

  16. R. Fareghbal, C.N. Gowdigere, A.E. Mosaffa, M.M. Sheikh-Jabbari, Nearing extremal intersecting giants and new decoupled sectors in N=4 SYM. J. High Energy Phys. 0808, 070 (2008) [arXiv:0801.4457 [hep-th]]

    Article  MathSciNet  ADS  Google Scholar 

  17. R. Fareghbal, C.N. Gowdigere, A.E. Mosaffa, M.M. Sheikh-Jabbari, Nearing 11d extremal intersecting giants and new decoupled sectors in D= 3,6 SCFT’s, arXiv:0805.0203 [hep-th]

  18. J. de Boer, M. Johnstone, M.M. Sheikh-Jabbari, J. Simon, Emergent IR dual 2d CFTs in charged AdS5 black holes, arXiv:1112.4664 [hep-th]

  19. B. Zwiebach, Curvature squared terms and string theories. Phys. Lett. B 156, 315 (1985)

    Article  ADS  Google Scholar 

  20. J.A. Harvey, G.W. Moore, Fivebrane instantons and R ∗∗2 couplings in N=4 string theory. Phys. Rev. D 57, 2323 (1998) [arXiv:hep-th/9610237]

    Article  MathSciNet  ADS  Google Scholar 

Download references

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  1. Department of Physics, Kyung Hee University, Seoul, 130-701, Korea

    Hossein Yavartanoo

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  1. Hossein Yavartanoo
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Correspondence to Hossein Yavartanoo.

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Yavartanoo, H. EVH black hole solutions with higher derivative corrections. Eur. Phys. J. C 72, 1911 (2012). https://doi.org/10.1140/epjc/s10052-012-1911-7

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-1911-7

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