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Ferreira-Martins, A. J.; Meert, P.; da Rocha, R.

\(\mathrm{AdS}_5\)-Schwarzschild deformed black branes and hydrodynamic transport coefficients. (English) Zbl 1473.83046

Nucl. Phys., B 957, Article ID 115087, 20 p. (2020).
Summary: A family of deformed \(\mathrm{AdS}_5\)-Schwarzschild black branes is here derived, employing the membrane paradigm of AdS/CFT. The solution of the Einstein-Hilbert action, with the Gibbons-Hawking term and a counter-term that eliminates eventual divergences, yields a partition function associated to the dual theory which allows the computation of the entropy, pressure and free energy, as state functions, in the canonical ensemble. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio, then restricting the range of the parameter that defines a family of deformed black branes.

MSC:

83C57 Black holes
83C15 Exact solutions to problems in general relativity and gravitational theory
14D15 Formal methods and deformations in algebraic geometry
81T35 Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.)
83C56 Dark matter and dark energy
83E30 String and superstring theories in gravitational theory
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
76E20 Stability and instability of geophysical and astrophysical flows
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\textit{A. J. Ferreira-Martins} et al., Nucl. Phys., B 957, Article ID 115087, 20 p. (2020; Zbl 1473.83046)
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References:

[1] Rangamani, M., Class. Quantum Gravity, 26, Article 224003 pp. (2009), Preprint · Zbl 1181.83005
[2] Bhattacharyya, S.; Hubeny, V. E.; Minwalla, S.; Rangamani, M., J. High Energy Phys., 02, Article 045 pp. (2008), Preprint
[3] Hubeny, V. E.; Minwalla, S.; Rangamani, M., The fluid/gravity correspondence black holes in higher dimensions (2012), pp. 348-383, Preprint
[4] Casadio, R.; Ovalle, J.; da Rocha, R., Class. Quantum Gravity, 32, Article 215020 pp. (2015), Preprint
[5] da Rocha, R., Phys. Rev. D, 95, Article 124017 pp. (2017), Preprint
[6] Casadio, R.; da Rocha, R., Phys. Lett. B, 763, 434-438 (2016), Preprint
[7] Fernandes-Silva, A.; Ferreira-Martins, A. J.; da Rocha, R., Phys. Lett. B, 791, 323-330 (2019), Preprint
[8] Iqbal, N.; Liu, H., Phys. Rev. D, 79, Article 025023 pp. (2009), Preprint
[9] Fernandes-Silva, A.; Ferreira-Martins, A. J.; da Rocha, R., Eur. Phys. J. C, 78, 631 (2018), Preprint
[10] Casadio, R.; Fabbri, A.; Mazzacurati, L., Phys. Rev. D, 65, Article 084040 pp. (2002), Preprint
[11] Casadio, R.; Cavalcanti, R. T.; da Rocha, R., Eur. Phys. J. C, 76, 556 (2016), Preprint
[12] Maartens, R.; Koyama, K., Living Rev. Relativ., 13, 5 (2010), Preprint
[13] Eling, C.; Oz, Y., J. High Energy Phys., 02, Article 069 pp. (2010), Preprint
[14] Antoniadis, I., Phys. Lett. B, 246, 377-384 (1990)
[15] Antoniadis, I.; Arkani-Hamed, N.; Dimopoulos, S.; Dvali, G. R., Phys. Lett. B, 436, 257 (1998), Preprint
[16] Yagi, K.; Hatsuda, T.; Miake, Y., Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol., 23, 1-446 (2005)
[17] Song, H., Nucl. Phys. A, 904-905, 114c-121c (2013), Preprint
[18] Adare, A., Phys. Rev. Lett., 98, Article 172301 pp. (2007), Preprint
[19] Song, H.; Heinz, U. W., Phys. Lett. B, 658, 279-283 (2008), Preprint
[20] Ferreira-Martins, A. J.; Meert, P.; da Rocha, R., Eur. Phys. J. C, 79, 646 (2019), Preprint
[21] Casadio, R.; Fabbri, A.; Mazzacurati, L., Phys. Rev. D, 65, Article 084040 pp. (2002), Preprint
[22] Abdalla, E.; Cuadros-Melgar, B.; Pavan, A. B.; Molina, C., Nucl. Phys. B, 752, 40-59 (2006), Preprint
[23] Boschi-Filho, H.; Braga, N. R.F., J. High Energy Phys., 03, Article 051 pp. (2005), Preprint
[24] Boschi-Filho, H.; Braga, N. R.F., Class. Quantum Gravity, 21, 2427-2433 (2004), Preprint
[25] Rangamani, M., Class. Quantum Gravity, 26, Article 224003 pp. (2009), Preprint · Zbl 1181.83005
[26] Son, D. T., Acta Phys. Pol. B, 39, 3173 (2008)
[27] Natsuume, M., Lect. Notes Phys., 903, 1 (2015), Preprint
[28] Witten, E., Adv. Theor. Math. Phys., 2, 253 (1998), Preprint
[29] Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M., Phys. Lett. B, 428, 105 (1998), Preprint
[30] Witten, E., Adv. Theor. Math. Phys., 2, 253-291 (1998), Preprint
[31] Aminneborg, S.; Bengtsson, I.; Holst, S.; Peldan, P., Class. Quantum Gravity, 13, 2707-2714 (1996), Preprint
[32] Bilix, N.; Domazet, S.; Toli, D., Phys. Lett. B, 743, 340-346 (2015), Preprint
[33] Son, D. T., Nucl. Phys. Proc. Suppl., 192-193, 113-118 (2009)
[34] Kovtun, P.; Son, D. T.; Starinets, A. O., Phys. Rev. Lett., 94, Article 111601 pp. (2005), Preprint
[35] Bronnikov, K. A.; Melnikov, V. N.; Dehnen, H., Phys. Rev. D, 68, Article 024025 pp. (2003), Preprint
[36] Shiromizu, T.; Maeda, K.i.; Sasaki, M., Phys. Rev. D, 62, Article 024012 pp. (2000), Preprint
[37] Shiromizu, T.; Ida, D., Phys. Rev. D, 64, Article 044015 pp. (2001), Preprint
[38] Arnowitt, R. L.; Deser, S.; Misner, C. W., Gen. Relativ. Gravit., 40, 1997-2027 (2008), Preprint
[39] Wald, R. M., Quantum Field Theory in Curved Space-Time and Black Hole Thermodynamics Chicago Lectures in Physics (1995), University of Chicago Press: University of Chicago Press Chicago, IL
[40] Emparan, R.; Johnson, C. V.; Myers, R. C., Phys. Rev. D, 60, Article 104001 pp. (1999), Preprint
[41] Liu, H. S.; Lü, H., J. High Energy Phys., 12, Article 071 pp. (2014), Preprint
[42] Cremonini, S., Mod. Phys. Lett. B, 25, 1867-1888 (2011), Preprint
[43] Cherman, A.; Cohen, T. D.; Hohler, P. M., J. High Energy Phys., 02, Article 026 pp. (2008), Preprint
[44] Randall, L.; Sundrum, R., Phys. Rev. Lett., 83, 4690-4693 (1999), Preprint
[45] Sasaki, M.; Shiromizu, T.; Maeda, K.i., Phys. Rev. D, 62, Article 024008 pp. (2000), Preprint
[46] Kanno, S.; Soda, J., Phys. Rev. D, 66, Article 043526 pp. (2002), Preprint
[47] Casadio, R., Phys. Rev. D, 69, Article 084025 pp. (2004), Preprint
[48] Henningson, M.; Skenderis, K., J. High Energy Phys., 07, Article 023 pp. (1998), Preprint
[49] Kats, Y.; Petrov, P., J. High Energy Phys., 01, Article 044 pp. (2009), Preprint
[50] Buchel, A.; Myers, R. C.; Sinha, A., J. High Energy Phys., 03, Article 084 pp. (2009), Preprint
[51] Brigante, M.; Liu, H.; Myers, R. C.; Shenker, S.; Yaida, S., Phys. Rev. D, 77, Article 126006 pp. (2008), Preprint
[52] Myers, R. C.; Paulos, M. F.; Sinha, A., Phys. Rev. D, 79, Article 041901 pp. (2009), Preprint
[53] Rebhan, A.; Steineder, D., Phys. Rev. Lett., 108, Article 021601 pp. (2012), Preprint
[54] Critelli, R.; Finazzo, S.; Zaniboni, M.; Noronha, J., Phys. Rev. D, 90, Article 066006 pp. (2014), Preprint
[55] Bernardini, A. E.; da Rocha, R., Phys. Lett. B, 762, 107-115 (2016), Preprint
[56] Braga, N. R.F.; da Rocha, R., Phys. Lett. B, 767, 386-391 (2017), Preprint
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