Setembro 2022 vol. 8 num. 1 - As Astrocientistas - I Encontro Brasileiro de Meninas e Mulheres da Astrofísica, Gravitação e Cosmologia

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Singularidades repentinas futuras e partículas

Future sudden singularities and particles

Galkina, Olesya ;

Artigo completo:

Nesse trabalho, revisamos o conceito de singularidades cosmológicas, em particular singularidades futuras repentinas, também conhecidas como singularidades "suaves". Apresentamos alguns modelos baseados em campos de táquions, revelando a singularidade do tipo Big Brake e o efeito de transformação de campos de matéria. Estudamos campos escalares com diferentes tipos de Lagrangianas, escrevendo as equações diferenciais de segunda ordem para as perturbações lineares desses campos na vizinhança de uma singularidade futura repentina. Se ambas as soluções independentes forem regulares, construímos o estado de vácuo para partículas quânticas como uma função gaussiana. Se pelo menos uma das duas soluções independentes têm um comportamento assintótico singular, então não podemos definir os operadores de criação e aniquilação e construir o vácuo. Isso significa que não é possível conservar uma noção de partícula.

Artigo completo:

In this work, we review the concept of cosmological singularities, in particular sudden future singularities, also known as "soft" singularities. We present some models based on tachyon fields, revealing the Big Brake-type singularity and the transformation effect of matter fields. We study scalar fields with different types of Lagrangians, writing second-order differential equations for the linear perturbations of these fields in the vicinity of a sudden future singularity. If both independent solutions are regular, we construct the vacuum state for quantum particles as a Gaussian function. If at least one of the two independent solutions has singular asymptotic behavior, then we cannot define the creation and annihilation operators and build the vacuum. This means that it is not possible to retain a notion of a particle.

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Palavras-chave: singularidades repentinas, partículas quânticas, singularidade Big Brake,

Palavras-chave: sudden singularities, quantum particles, Big Brake singularity,

DOI: 10.5151/astrocientistas2021-13

Referências bibliográficas
  • [1] " A. Friedman, On the curvature of space, Z.Phys. 10 (1922) 377-386, Gen.Rel.Grav. 31 (1999) 1991-2000.
  • [2] V. A. Belinsky, I. M. Khalatnikov, On the nature of the singularities in the general solutions of the gravitational equations, Sov.Phys. JETP 29 (1969) 911.
  • [3] V. A. Belinsky, E. M. Lifshitz, I. M. Khalatnikov, Oscillatory approach to the singular point in relativistic cosmology, Sov.Phys.Usp. 13 (1971) 745.
  • [4] V. A. Belinsky, E. M. Lifshitz, I. M. Khalatnikov, A general solution of the Einstein equations with a time singularity, Adv.Phys. 31 (1982) 639-667.
  • [5] C. W. Misner, Mixmaster Universe, Phys.Rev.Lett. 22 (1969) 1071-1074.
  • [6] E. M. Lifshitz, I. M. Lifshitz, I. M. Khalatnikov, Asymptotic analysis of oscillatory mode of approach to a singularity in homogeneous cosmological models, Sov.Phys.JETP 32 (1971) 173.
  • [7] I. M. Khalatnikov, E. M. Lifshitz, K. M. Khanin, L. N. Shchur , Ya. G. Sinai, J.Stat.Phys. 38 (1985) 9
  • [8] R. Penrose, Gravitational collapse and space-time singularities, Phys.Rev.Lett. 14 (1965) 57-59.
  • [9] S.W. Hawking, Properties of expanding universes, PhD Thesis, University of Cambridge (1966).
  • [10] A. A. Starobinsky, Future and origin of our universe: Modern view, Grav.Cosmol. 6 (2000) 157-163.
  • [11] R. R. Caldwell, M. Kamionkowski, and N. N. Weinberg, Phantom energy: Dark energy with w < −1 causes a cosmic doomsday, Phys.Rev.Lett. 91 (2003) 071301.
  • [12] R. R. Caldwell, A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state, Phys.Lett. B 545 (2002) 23-29.
  • [13] O.Galkina, Alexander Yu. Kamenshchik, Future soft singularities, Born-Infeld-like fields and particles, Phys.Rev.D 102 (2020) 2, 024078.
  • [14] O. Galkina, Scalar-tensor theories of gravity and their cosmological applications, Phd Thesis, Universidade Federal do Espírito Santo (2020).
  • [15] J. D. Barrow, G. J. Galloway and F. Tipler, The closed-universe recollapse conjecture, Mon.Not.Roy.Astron. Soc. 223 (1986) 835.
  • [16] M. P. Dabrowski, T. Denkiewicz and M. A. Hendry, How far is it to a sudden future singularity of pressure? Phys.Rev. D 75 (2007) 123524.
  • [17] T. Denkiewicz, Observational Constraints on Finite Scale Factor Singularities, JCAP 07 (2012) 036.
  • [18] T. Denkiewicz, M. P. Dabrowski, H. Ghodsi and M. A. Hendry, Cosmological tests of sudden future singularities, Phys.Rev. D 85 (2012) 083527.
  • [19] Z. Keresztes, L. A. Gergely, V. Gorini, U. Moschella and A. Yu. Kamenshchik, Tachyon cosmology, supernovae data, and the big brake singularity, Phys.Rev. D 79 (2009) 083504.
  • [20] V. Gorini, A. Y. Kamenshchik, U. Moschella and V. Pasquier, Tachyons, scalar fields and cosmology, Phys.Rev. D 69 (2004) 123512.
  • [21] P. Tretyakov, A. Toporensky, Yu. Shtanov and V. Sahni, Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology, Class.Quantum Grav. 23 (2006) 3259-3274 .
  • [22] J. D. Barrow, A. B. Batista, G. Dito, J. C. Fabris and S. Houndjo, Sudden singularities survive massive quantum particle production, Phys.Rev. D 84 (2011) 123518.
  • [23] J. de Haro, J. Amoros and E. Elizalde, Sudden singularities in semiclassical gravity, Phys.Rev. D 85 (2012) 123527.
  • [24] M. P. Dabrowski, C. Kiefer and B. Sandhofer, Quantum phantom cosmology, Phys.Rev. D 74 (2006) 044022.
  • [25] A. Yu. Kamenshchik, C. Kiefer, and B. Sandhöfer, Quantum cosmology with a big-brake singularity, Phys.Rev. D 76 (2007) 064032.
  • [26] M. Bouhmadi-Lopez, C. Kiefer, B. Sandhofer, and P. V. Moniz, Quantum fate of singularities in a dark-energy dominated universe, Phys.Rev. D 79 (2009) 124035.
  • [27] A. Y. Kamenshchik and S. Manti, Scalar field potentials for closed and open cosmological models, Phys.Rev. D 85 (2012) 123518.
  • [28] E. M. Barboza, Jr. and N. A. Lemos, Does the Big Rip survive quantization? Gen.Rel.Grav. 38 (2006) 1609-1622.
  • [29] H. Calderon and W. A. Hiscock, Quantum fields and ""Big Rip"" expansion singularities, Class.Quant. Grav. 22 (2005) L23-L26.
  • [30] Y. Shtanov and V. Sahni, New cosmological singularities in braneworld models, Class.Quant.Grav. 19 (2002) L101-L107.
  • [31] L. Fernández-Jambrina and R. Lazkoz, Geodesic behavior of sudden future singularities, Phys.Rev. D 70 (2004) 121503.
  • [32] Z. Keresztes, L. A. Gergely, A. Y. Kamenshchik, V. Gorini, and D. Polarski, Will the tachyonic Universe survive the Big Brake? Phys.Rev. D 82 (2010) 123534.
  • [33] F. J. Tipler, Singularities in conformally flat spacetimes, Phys.Lett. A 64 (1977) 8-10.
  • [34] V. N. Lukash, E. V. Mikheeva, and V. N. Strokov, The early universe and cosmogenesis, Phys.Usp. 55 (2012) 204.
  • [35] V. N. Lukash, E. V. Mikheeva, and V. N. Strokov, Generation of cosmological flows in General Relativity (features and properties of integrable singularities), Phys.Usp. 55 (2012) 831-837.
  • [36] Z. Keresztes, L. A. Gergely, A. Yu. Kamenshchik, V. Gorini, and D. Polarski, Soft singularity crossing and transformation of matter properties, Phys.Rev. D 88 (2013) 023535.
  • [37] A. Y. Kamenshchik, Singularity crossing, transformation of matter properties and the problem of parametrization in field theories, Found.Phys. 48 (2018) 10, 1159-1176.
  • [38] A. Yu. Kamenshchik, Quantum cosmology and late-time singularities, Class.Quant.Grav. 30 (2013) 173001.
  • [39] Sh. Nojiri, S. D. Odintsov and S. Tsujikawa, Properties of singularities in the (phantom) dark energy universe, Phys.Rev. D 71 (2005) 063004.
  • [40] A. Sen, Rolling tachyon, JHEP 04 (2002) 048.
  • [41] A.A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys.Lett. B91 (1980) 99-102.
  • [42] A.Vilenkin, Effect of Small Scale Structure on the Dynamics of Cosmic Strings, Phys.Rev.D 41 (1990) 3038.
  • [43] M.R. Setare and E.N. Saridakis, Non-minimally coupled canonical, phantom and quintom models of holographic dark energy, Phys.Lett. B 671 (2009) 331.
  • [44] V. Sahni and Yu. Shtanov, Did the universe loiter at high redshifts? Phys.Rev. D 71 (2005) 084018.
  • [45] M. P. Dabrowski and T. Denkiewicz, Barotropic index w-singularities in cosmology, Phys.Rev. D 79 (2009) 06352.
  • [46] M. P. Dabrowski and K. Marosek, Regularizing cosmological singularities by varying physical constants, JCAP 02 (2013) 012.
  • [47] A. G. Riess et al. (Supernova Search Team), Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron.J. 116 (1998) 1009-1038.
  • [48] V. Sahni and A. A. Starobinsky, The Case for a Positive Cosmological Lambda-term, Int.J.Mod.Phys. D 9 (2000) 373-444.
  • [49] E. J. Copeland, M. Sami, and S. Tsujikawa, Dynamics of dark energy, Int.J.Mod.Phys. D 15 (2006) 1753-1936.
  • [50] A. Feinstein, Power-law inflation from the rolling tachyon, Phys.Rev. D 66 (2002) 063511.
  • [51] T. Padmanabhan, Accelerated expansion of the universe driven by tachyonic matter, Phys.Rev. D 66 (2002) 021301.
  • [52] A. V. Frolov, L. Kofman, and A. A. Starobinsky, Prospects and problems of tachyon matter cosmology, Phys.Lett. B 545 (2002) 8-16.
  • [53] M. Born and L. Infeld, Foundations of the new field theory, Proc.Roy.Soc.Lond. A 144 (1934) 852, 425-451.
  • [54] Z. Keresztes, L. A. Gergely, and A. Y. Kamenshchik, Paradox of soft singularity crossing and its resolution by distributional cosmological quantities, Phys.Rev. D 86 (2012) 063522."
Como citar:

Galkina, Olesya; "Singularidades repentinas futuras e partículas", p. 109-119 . In: Anais do I Encontro Brasileiro de Meninas e Mulheres da Astrofísica, Gravitação e Cosmologia - As Astrocientistas. São Paulo: Blucher, 2022.
ISSN 2358-2359, DOI 10.5151/astrocientistas2021-13

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