The null energy condition and cosmology
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 3-12
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Field theories that violate the null energy condition {(}NEC{\rm)} are of interest both for the solution of the cosmological singularity problem and for models of cosmological dark energy with the equation of state parameter $w<-1$. We consider two recently proposed models that violate the NEC. The ghost condensate model requires higher-derivative terms in the action, and this leads to a heavy ghost field and energy unbounded from below. We estimate the rates of particle decay and discuss possible mass limitations to protect the stability of matter in the ghost condensate model. The nonlocal stringy model that arises from a cubic string field theory and exhibits a phantom behavior also leads to energy unbounded from below. In this case, the energy spectrum is continuous, and there are no particle-like excitations. This model admits a natural UV completion because it comes from superstring theory.
Keywords: cosmology, string
Mots-clés : D-brane.
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I. Ya. Aref'eva; I. V. Volovich. The null energy condition and cosmology. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a0/

[1] S. W. Hawking, G. F. R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, London, 1973 | MR | Zbl

[2] M. Gasperini, G. Veneziano, Phys. Rep., 373:1–2 (2003), 1–212 ; arXiv: hep-th/0207130 | DOI | MR

[3] S. M. Carroll, M. Hoffman, M. Trodden, Phys. Rev. D, 68:2 (2003), 3509 ; arXiv: astro-ph/0301273 | DOI

[4] J. M. Cline, S. Jeon, G. D. Moore, Phys. Rev. D, 70:4 (2004), 3543 ; arXiv: hep-ph/0311312 | DOI | MR

[5] S. D. H. Hsu, A. Jenkins, M. B. Wise, Phys. Lett. B, 597:3–4 (2004), 270–274 ; arXiv: astro-ph/0406043 | DOI

[6] B. McInnes, Nucl. Phys. B, 718:1–2 (2005), 55–82 ; arXiv: hep-th/0502209 | DOI | MR | Zbl

[7] R. V. Buniy, S. D. H. Hsu, B. M. Murray, Phys. Rev. D, 74:6 (2006), 3518 ; arXiv: hep-th/0606091 | DOI | MR

[8] E. J. Copeland, M. Sami, Sh. Tsujikawa, Internat. J. Modern Phys. D, 15:11 (2006), 1753–1935 ; arXiv: hep-th/0603057 | DOI | MR | Zbl

[9] T. Padmanabhan, “Dark energy: mystery of the millennium”, Albert Einstein Century International Conference, AIP Conf. Proc., 861, Amer. Inst. Phys., Melville, NY, 2006, 179–196 ; arXiv: astro-ph/0603114 | DOI | MR

[10] M. Kaplinghat, S. Bridle, Phys. Rev. D, 71:12 (2005), 3003 ; arXiv: astro-ph/0312430 | DOI

[11] G. Veneziano, J. Cosmol. Astropart. Phys., 03 (2004), 004 ; arXiv: hep-th/0312182 | DOI

[12] S. Dubovsky, T. Gregoire, A. Nicolis, R. Rattazzi, JHEP, 03 (2006), 025 ; arXiv: hep-th/0512260 | DOI | MR

[13] N. Arkani-Hamed, H. C. Cheng, M. A. Luty, S. Mukohyama, JHEP, 05 (2004), 074 ; arXiv: hep-th/0312099 | DOI | MR

[14] F. Piazza, S. Tsujikawa, J. Cosmol. Astropart. Phys., 07 (2004), 004 ; arXiv: hep-th/0405054 | DOI

[15] A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis et al., JHEP, 10 (2006), 014 ; arXiv: hep-th/0602178 | DOI | MR | Zbl

[16] P. Creminelli, M. A. Luty, Al. Nicolis, L. Senatore, JHEP, 12 (2006), 080 ; arXiv: hep-th/0606090 | DOI | MR | Zbl

[17] I. Ya. Aref'eva, “Nonlocal string tachyon as a model for cosmological dark energy”, $p$-Adic Mathematical Physics, AIP Conf. Proc., 826, Amer. Inst. Phys., Melville, NY, 2006, 301–311 ; arXiv: astro-ph/0410443 | DOI | MR | Zbl

[18] I. Ya. Aref'eva, L. V. Joukovskaya, JHEP, 10 (2005), 087 ; arXiv: hep-th/0504200 | DOI | MR

[19] G. Calcagni, JHEP, 05 (2006), 012 ; arXiv: hep-th/0512259 | DOI | MR

[20] I. Ya. Aref'eva, A. S. Koshelev, JHEP, 02 (2007), 041 ; ; I. Ya. Aref'eva, “D-brane as a model for cosmological dark energy”, Contents and Structures of the Universe, Proc. XLI Rencontres de Moriond (La Thuile, Italy, March 18–25, 2006), eds. C. Magneville, R. Ansari, J. Dumarchez, J. T. T. Van, NXB The Gioi, Hanoi, 2006, 131–135 arXiv: hep-th/0605085 | DOI

[21] I. Ya. Aref'eva, P. B. Medvedev, A. P. Zubarev, Phys. Lett. B, 240:3–4 (1990), 356–362 ; Nucl. Phys. B, 341:2 (1990), 464–498 ; C. R. Preitschopf, C. B. Thorn, S. A. Yost, Nucl. Phys. B, 337:2 (1990), 363–433 ; I. Ya. Arefeva, D. M. Belov, A. S. Koshelev, P. B. Medvedev, Nucl. Phys. B, 638:1–2 (2002), 3–20 ; arXiv: hep-th/0011117 | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl

[22] I. Ya. Aref'eva, L. V. Joukovskaya, A. S. Koshelev, JHEP, 09 (2003), 012 ; ; Ya. I. Volovich, J. Phys. A, 36:32 (2003), 8685–8701 ; arXiv: hep-th/0301137arXiv: math-ph/0301028 | DOI | MR | DOI | MR | Zbl

[23] A. Sen, Internat. J. Modern Phys. A, 20:24 (2005), 5513–5656 ; arXiv: hep-th/0410103 | DOI | MR | Zbl

[24] K. Ohmori, A review on tachyon condensation in open string field theories

[25] V. A. Rubakov, TMF, 149:3 (2006), 409–426 ; arXiv: hep-th/0604153 | DOI

[26] R. Gannouji, D. Polarski, A. Ranquet, A. A. Starobinsky, J. Cosmol. Astropart. Phys., 09 (2006), 016 ; arXiv: astro-ph/0606287 | DOI

[27] R. Lazkoz, R. Maartens, E. Majerotto, Phys. Rev. D, 74:8 (2006), 3510 ; arXiv: astro-ph/0605701 | DOI | MR

[28] I. P. Neupane, Towards inflation and accelerating cosmologies in string-generated gravity models, arXiv: hep-th/0605265

[29] S. Nojiri, S. D. Odintsov, M. Sami, Phys. Rev. D, 74:4 (2006), 6004 ; arXiv: hep-th/0605039 | DOI | MR

[30] M. Ostrogradski, Memoires Sur Les Equations Differentielles Relatives au Probleme des Isoperimetres, VI 4, Mem. Ac. St. Petersburg, 1850

[31] T. Nakamura, S. Hamamoto, Progr. Theoret. Phys., 95:3 (1996), 469–484 ; arXiv: hep-th/9511219 | DOI | MR

[32] A. Pais, G. E. Uhlenbeck, Phys. Rev., 79:1 (1950), 145–165 | DOI | MR | Zbl

[33] I. V. Volovich, Kalibrovochnaya invariantnost v aksiomaticheskom podkhode, Diplomnaya rabota, MGU, 1969

[34] V. S. Vladimirov, Ya. I. Volovich, TMF, 138:3 (2004) ; ; В. С. Владимиров, Изв. РАН. Сер. матем., 69:3 (2005), 55–80 ; ; Л. В. Жуковская, ТМФ, 146:3 (2006), 402–409 ; D. V. Prokhorenko, On some nonlinear integral equation in the (super)string theory, arXiv: math-ph/0306018arXiv: math-ph/0507018arXiv: math-ph/0611068 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR

[35] I. V. Volovich, Classical Quantum Gravity, 4:4 (1987), L83–L87 | DOI | MR

[36] L. Brekke, P. G. O. Freund, M. Olson, E. Witten, Nucl. Phys. B, 302:3 (1988), 365–402 | DOI | MR

[37] V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-Adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 | MR | MR | Zbl

[38] I. Ya. Aref'eva, L. V. Joukovskaya, S. Yu. Vernov, JHEP, 07 (2007), 087 ; arXiv: hep-th/0701184 | DOI | MR

[39] V. V. Kozlov, I. V. Volovich, Dokl. RAN, 408:3 (2006), 317–320 ; V. V. Kozlov, I. V. Volovich, Int. J. Geom. Methods Mod. Phys., 3:7 (2006), 1349–1357 ; arXiv: gr-qc/0603111 | MR | Zbl | DOI | MR | Zbl

[40] I. Ya. Arefeva, A. S. Koshelev, S. Yu. Vernov, TMF, 148:1 (2006), 23–41 ; ; I. Ya. Aref'eva, A. S. Koshelev, S. Yu. Vernov, Phys. Lett. B, 628:1–2 (2005), 1–10 ; ; Phys. Rev. D, 72:6 (2005), 4017 ; arXiv: astro-ph/0412619arXiv: astro-ph/0505605arXiv: astro-ph/0507067 | DOI | MR | Zbl | DOI | DOI

[41] M. P. Dabrowski, C. Kiefer, B. Sandhöfer, Phys. Rev. D, 74:4 (2006), 4022 ; arXiv: hep-th/0605229 | DOI | MR

[42] E. O. Kahya, V. K. Onemli, Phys. Rev. D, 76:4 (2007), 3512 ; arXiv: gr-qc/0612026 | DOI | MR