General aspects of Gauss-Bonnet models without potential in dimension four

Mostrar otras versiones (1)

In the present work, the isotropic and homogenous solutions with spatial curvature k=0 of four dimensional Gauss-Bonnet models are characterized. The main assumption is that the scalar field φ which is coupled to the Gauss-Bonnet term has no potential [1]-[2]. Some singular and some eternal solution...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Santillán, O.P
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Institute of Physics Publishing 2017
Acceso en línea:Registro en Scopus
DOI
Handle
Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
LEADER 16355caa a22011177a 4500
001 PAPER-25529
003 AR-BaUEN
005 20230518205736.0
008 190410s2017 xx ||||fo|||| 00| 0 eng|d
024 7 |2 scopus  |a 2-s2.0-85033609648 
040 |a Scopus  |b spa  |c AR-BaUEN  |d AR-BaUEN 
100 1 |a Santillán, O.P. 
245 1 0 |a General aspects of Gauss-Bonnet models without potential in dimension four 
260 |b Institute of Physics Publishing  |c 2017 
270 1 0 |m Santillán, O.P.; Departamento de Matemáticas Luis Santaló (IMAS)Argentina; email: firenzecita@hotmail.com 
506 |2 openaire  |e Política editorial 
504 |a Capozziello, S., Curvature quintessence, https://doi.org/10.1142/S0218271802002025 (2002) Int. J. Mod. Phys., 11, p. 483. , [gr-qc/0201033] 
504 |a De Laurentis, M., Paolella, M., Capozziello, S., Cosmological inflation in F(R,) gravity, https://doi.org/10.1103/PhysRevD.91.083531 (2015) Phys. Rev., 91, p. 083531. , [1503.04659] 
504 |a Birrell, N., Davies, P., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge U.K 
504 |a Callan, C.G., Jr., Martinec, E.J., Perry, M.J., Friedan, D., Strings in Background Fields, https://doi.org/10.1016/0550-3213(85)90506-1 (1985) Nucl. Phys., 262, p. 593 
504 |a Callan, C.G., Jr., Klebanov, I.R., Perry, M.J., String Theory Effective Actions, https://doi.org/10.1016/0550-3213(86)90107-0 (1986) Nucl. Phys., 278 (1), p. 78 
504 |a Fradkin, E.S., Tseytlin, A.A., Effective Field Theory from Quantized Strings, https://doi.org/10.1016/0370-2693(85)91190-6 (1985) Phys. Lett., 158 (4), p. 316 
504 |a Drukarev, E.G., Levin, E.M., The Drell-Yan processes at τto 1, https://doi.org/10.1016/0550-3213(85)90060-4 (1985) Nucl. Phys., 262, p. 1 
504 |a Sen, A., The Heterotic String in Arbitrary Background Field, https://doi.org/10.1103/PhysRevD.32.2102 (1985) Phys. Rev., 32, p. 2102 
504 |a Sen, A., Equations of Motion for the Heterotic String Theory from the Conformal Invariance of the σ-model, https://doi.org/10.1103/PhysRevLett.55.1846 (1985) Phys. Rev. Lett., 55, p. 1846 
504 |a Gross, D.J., Sloan, J.H., The Quartic Effective Action for the Heterotic String, https://doi.org/10.1016/0550-3213(87)90465-2 (1987) Nucl. Phys., 291, p. 41 
504 |a Antoniadis, I., Gava, E., Narain, K.S., Moduli corrections to gravitational couplings from string loops, https://doi.org/10.1016/0370-2693(92)90009-S (1992) Phys. Lett., 283 (3-4), p. 209. , [hep-th/9203071] 
504 |a Antoniadis, I., Gava, E., Narain, K.S., Moduli corrections to gauge and gravitational couplings in four-dimensional superstrings, https://doi.org/10.1016/0550-3213(92)90672-X (1992) Nucl. Phys., 383 (1-2), p. 93 
504 |a Brax, P., Van De Bruck, C., Cosmology and brane worlds: A Review, https://doi.org/10.1088/0264-9381/20/9/202 (2003) Class. Quant. Grav., 20 (9), p. R201. , [hep-th/0303095] 
504 |a Nojiri, S., Odintsov, S.D., Modified Gauss-Bonnet theory as gravitational alternative for dark energy, https://doi.org/10.1016/j.physletb.2005.10.010 (2005) Phys. Lett., 631, p. 1. , [hep-th/0508049] 
504 |a Nojiri, S., Odintsov, S.D., Gorbunova, O.G., Dark energy problem: From phantom theory to modified Gauss-Bonnet gravity, https://doi.org/10.1088/0305-4470/39/21/S62 (2006) J. Phys., 39 (21), p. 6627. , [hep-th/0510183] 
504 |a Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S., Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem, https://doi.org/10.1103/PhysRevD.73.084007 (2006) Phys. Rev., 73 (8), p. 084007. , [hep-th/0601008] 
504 |a Nojiri, S., Odintsov, S.D., Toporensky, A., Tretyakov, P., Reconstruction and deceleration-acceleration transitions in modified gravity, https://doi.org/10.1007/s10714-010-0977-5 (2010) Gen. Rel. Grav., 42, p. 1997. , [0912.2488] 
504 |a Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S., One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space, https://doi.org/10.1140/epjc/s10052-009-1154-4 (2009) Eur. Phys. J., 64, p. 483. , [0905.0543] 
504 |a Capozziello, S., Elizalde, E., Nojiri, S., Odintsov, S.D., Accelerating cosmologies from non-local higher-derivative gravity, https://doi.org/10.1016/j.physletb.2008.11.060 (2009) Phys. Lett., 671, p. 193. , [0809.1535] 
504 |a Bamba, K., Nojiri, S., Odintsov, S.D., The Universe future in modified gravity theories: Approaching the finite-time future singularity (2008) J. Cosmol. Astropart. Phys., 2008 (10), p. 045. , 2008 [0807.2575] 
504 |a Sadeghi, J., Setare, M.R., Banijamali, A., Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy, https://doi.org/10.1140/epjc/s10052-009-1152-6 (2009) Eur. Phys. J., 64, p. 433. , [0906.0713] 
504 |a Guo, Z.-K., Schwarz, D.J., Slow-roll inflation with a Gauss-Bonnet correction, https://doi.org/10.1103/PhysRevD.81.123520 (2010) Phys. Rev., 81 (12), p. 123520. , [1001.1897] 
504 |a Satoh, M., Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections (2010) J. Cosmol. Astropart. Phys., 2010 (11), p. 024. , 2010 [1008.2724] 
504 |a Nozari, K., Rashidi, N., DBI inflation with a nonminimally coupled Gauss-Bonnet term, https://doi.org/10.1103/PhysRevD.88.084040 (2013) Phys. Rev., 88 (8), p. 084040. , [1310.3989] 
504 |a Lahiri, S., Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity (2017) J. Cosmol. Astropart. Phys., 2017 (1), p. 022. , 2017 [1611.03037] 
504 |a Lahiri, S., Anisotropic inflation in Gauss-Bonnet gravity (2016) J. Cosmol. Astropart. Phys., 2016 (9), p. 025. , 2016 [1605.09247] 
504 |a Nozari, K., Rashidi, N., Large non-Gaussianity in a non-minimally coupled derivative inflationary model with Gauss-Bonnet correction, https://doi.org/10.1103/PhysRevD.93.124022 (2016) Phys. Rev., 93, p. 124022. , [1605.06370] 
504 |a Mathew, J., Shankaranarayanan, S., Low scale Higgs inflation with Gauss-Bonnet coupling, https://doi.org/10.1016/j.astropartphys.2016.07.004 (2016) Astropart. Phys., 84, p. 1. , [1602.00411] 
504 |a Nozari, K., Aghabararian, R., Rashidi, N., Non-Gaussianity of scalar perturbations in tachyon field inflation coupled to Gauss-Bonnet curvature, https://doi.org/10.1007/s10509-015-2423-3 (2015) Astrophys. Space Sci., 358, p. 24 
504 |a Motaharfar, M., Sepangi, H.R., Warm-tachyon Gauss-Bonnet inflation in the light of Planck 2015 data, https://doi.org/10.1140/epjc/s10052-016-4474-1 (2016) Eur. Phys. J., 76, p. 646. , [1604.00453] 
504 |a Carter, B.M.N., Neupane, I.P., Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory (2006) J. Cosmol. Astropart. Phys., 2006 (6), p. 004. , 2006 [hep-th/0512262] 
504 |a De Laurentis, M., Paolella, M., Capozziello, S., Cosmological inflation in F(R,) gravity, https://doi.org/10.1103/PhysRevD.91.083531 (2015) Phys. Rev., 91, p. 083531. , [1503.04659] 
504 |a Van De Bruck, C., Dimopoulos, K., Longden, C., Reheating in Gauss-Bonnet-coupled inflation, https://doi.org/10.1103/PhysRevD.94.023506 (2016) Phys. Rev., 94, p. 023506. , [1605.06350] 
504 |a Granda, L.N., Jimenez, D.F., Dark Energy from Gauss-Bonnet and non-minimal couplings, https://doi.org/10.1103/PhysRevD.90.123512 (2014) Phys. Rev., 90, p. 123512. , [1411.4203] 
504 |a Granda, L.N., Loaiza, E., Big Rip and Little Rip solutions in scalar model with kinetic and Gauss Bonnet couplings, https://doi.org/10.1142/S0218271812500022 (2012) Int. J. Mod. Phys., 21, p. 1250002. , [1111.2454] 
504 |a Nojiri, S., Odintsov, S.D., Sasaki, M., Gauss-Bonnet dark energy, https://doi.org/10.1103/PhysRevD.71.123509 (2005) Phys. Rev., 71, p. 123509. , [hep-th/0504052] 
504 |a Hikmawan, G., Soda, J., Suroso, A., Zen, F.P., Comment on "gauss-Bonnet inflation", https://doi.org/10.1103/PhysRevD.93.068301 (2016) Phys. Rev., 93, p. 068301. , [1512.00222] 
504 |a Deruelle, N., Madore, J., On the Quasilinearity of the Einstein-'Gauss-Bonnet' Gravity Field Equations, , [gr-qc/0305004] 
504 |a Sotiriou, T.P., Zhou, S.-Y., Black hole hair in generalized scalar-tensor gravity: An explicit example, https://doi.org/10.1103/PhysRevD.90.124063 (2014) Phys. Rev., 90, p. 124063. , [1408.1698] 
504 |a Kanti, P., Rizos, J., Tamvakis, K., Singularity free cosmological solutions in quadratic gravity, https://doi.org/10.1103/PhysRevD.59.083512 (1999) Phys. Rev., 59, p. 083512. , [gr-qc/9806085] 
504 |a Easther, R., Maeda, K.-I., One loop superstring cosmology and the nonsingular universe, https://doi.org/10.1103/PhysRevD.54.7252 (1996) Phys. Rev., 54, p. 7252. , [hep-th/9605173] 
504 |a Rizos, J., Tamvakis, K., On the existence of singularity free solutions in quadratic gravity, https://doi.org/10.1016/0370-2693(94)91192-4 (1994) Phys. Lett., 326, p. 57. , [gr-qc/9401023] 
504 |a Starobinsky, A.A., A new type of isotropic cosmological models without singularity, https://doi.org/10.1016/0370-2693(80)90670-X (1987) Phys. Lett., 91, p. 99 
504 |a Brandenberger, R.H., Vafa, C., Superstrings in the Early Universe, https://doi.org/10.1016/0550-3213(89)90037-0 (1989) Nucl. Phys., 316, p. 391 
504 |a Tseytlin, A.A., Vafa, C., Elements of string cosmology, https://doi.org/10.1016/0550-3213(92)90327-8 (1992) Nucl. Phys., 372, p. 443. , [hep-th/9109048] 
504 |a Mukhanov, V.F., Brandenberger, R.H., A Nonsingular universe, https://doi.org/10.1103/PhysRevLett.68.1969 (1992) Phys. Rev. Lett., 68, p. 1969 
504 |a Brandenberger, R.H., Mukhanov, V.F., Sornborger, A., A Cosmological theory without singularities, https://doi.org/10.1103/PhysRevD.48.1629 (1993) Phys. Rev., 48, p. 1629. , [gr-qc/9303001] 
504 |a Barrow, J.D., Nonsingular scalar-tensor cosmologies, https://doi.org/10.1103/PhysRevD.48.3592 (1993) Phys. Rev., 48, p. 3592 
504 |a Damour, T., Polyakov, A.M., The String dilaton and a least coupling principle, https://doi.org/10.1016/0550-3213(94)90143-0 (1994) Nucl. Phys., 423, p. 532. , [hep-th/9401069] 
504 |a Angelantonj, C., Amendola, L., Litterio, M., Occhionero, F., String cosmology and inflation, https://doi.org/10.1103/PhysRevD.51.1607 (1995) Phys. Rev., 51, p. 1607. , [astro-ph/9501008] 
504 |a Kaloper, N., Madden, R., Olive, K.A., Towards a singularity-free inflationary universe?, https://doi.org/10.1016/0550-3213(95)00398-C (1995) Nucl. Phys., 452, p. 677. , [hep-th/9506027] 
504 |a Kaloper, N., Madden, R., Olive, K.A., Axions and the graceful exit problem in string cosmology, https://doi.org/10.1016/0370-2693(95)01577-9 (1996) Phys. Lett., 371, p. 34. , [hep-th/9510117] 
504 |a Gasperini, M., Veneziano, G., Singularity and exit problems in two-dimensional string cosmology, https://doi.org/10.1016/0370-2693(96)01122-7 (1996) Phys. Lett., 387, p. 715. , [hep-th/9607126] 
504 |a Rey, S.-J., Back reaction and graceful exit in string inflationary cosmology, https://doi.org/10.1103/PhysRevLett.77.1929 (1996) Phys. Rev. Lett., 77, p. 1929. , [hep-th/9605176] 
504 |a Rey, S.-J., Cosmological quantum string vacua and string-string duality, https://doi.org/10.1016/S0920-5632(96)00588-9 (1997) Nucl. Phys., 52, p. 344 
504 |a Easther, R., Maeda, K.-I., Wands, D., Tree level string cosmology, https://doi.org/10.1103/PhysRevD.53.4247 (1996) Phys. Rev., 53, p. 4247. , [hep-th/9509074] 
504 |a Bose, S., Kar, S., Exact solutions in two-dimensional string cosmology with back reaction, https://doi.org/10.1103/PhysRevD.56.R4444 (1997) Phys. Rev., 56, p. R4444. , [hep-th/9705061] 
504 |a Kalyana Rama, S., Singularity free (homogeneous isotropic) universe in graviton-dilaton models, https://doi.org/10.1103/PhysRevLett.78.1620 (1997) Phys. Rev. Lett., 78, p. 1620. , [hep-th/9608026] 
504 |a Kalyana Rama, S., Early universe evolution in graviton - Dilaton models, https://doi.org/10.1103/PhysRevD.56.6230 (1997) Phys. Rev., 56, p. 6230. , [hep-th/9611223] 
504 |a Kalyana Rama, S., Can string theory avoid cosmological singularities?, https://doi.org/10.1016/S0370-2693(97)00795-8 (1997) Phys. Lett., 408, p. 91. , [hep-th/9701154] 
504 |a Brustein, R., Madden, R., Graceful exit and energy conditions in string cosmology, https://doi.org/10.1016/S0370-2693(97)00945-3 (1997) Phys. Lett., 410, p. 110. , [hep-th/9702043] 
504 |a Brustein, R., Madden, R., A model of graceful exit in string cosmology, https://doi.org/10.1103/PhysRevD.57.712 (1998) Phys. Rev., 57, p. 712. , [hep-th/9708046] 
504 |a Kanti, P., Gannouji, R., Dadhich, N., Gauss-Bonnet Inflation, https://doi.org/10.1103/PhysRevD.92.041302 (2015) Phys. Rev., 92, p. 041302. , [1503.01579] 
504 |a Kanti, P., Gannouji, R., Dadhich, N., Early-time cosmological solutions in Einstein-scalar-Gauss-Bonnet theory, https://doi.org/10.1103/PhysRevD.92.083524 (2015) Phys. Rev., 92, p. 083524. , [1506.04667] 
504 |a Hawking, S., Ellis, G., (1973) The Large Scale Structure of Space-time, , Cambridge University Press, Cambridge 
504 |a Hawking, S.W., Penrose, R., The Singularities of gravitational collapse and cosmology, https://doi.org/10.1098/rspa.1970.0021 (1970) Proc. Roy. Soc. Lond., 314, p. 529 
504 |a Fewster, C.J., Galloway, G.J., Singularity theorems from weakened energy conditions, https://doi.org/10.1088/0264-9381/28/12/125009 (2011) Class. Quant. Grav., 28 (12), p. 125009. , [1012.6038] 
504 |a Kanti, P., Early-time Cosmological Solutions in Scalar-Gauss-Bonnet Theory, , [1509.08610] 
520 3 |a In the present work, the isotropic and homogenous solutions with spatial curvature k=0 of four dimensional Gauss-Bonnet models are characterized. The main assumption is that the scalar field φ which is coupled to the Gauss-Bonnet term has no potential [1]-[2]. Some singular and some eternal solutions are described. The evolution of the universe is given in terms of a curve γ=(H(φ), φ) which is the solution of a polynomial equation P(H2, φ)=0 with φ dependent coefficients. In addition, it is shown that the initial conditions in these models put several restrictions on the evolution. For instance, an universe initially contracting will be contracting always for future times and an universe that is expanding was always expanding at past times. Thus, there are no cyclic cosmological solutions for this model. These results are universal, that is, independent on the form of the coupling f(φ) between the scalar field and the Gauss-Bonnet term. In addition, a proof that at a turning point 0 a singularity necessarily emerges is presented, except for some specific choices of the coupling. This is valid unless the Hubble constant H 0 at this point. This proof is based on the Raychaudhuri equation for the model. The description presented here is in part inspired in the works [3]-[4]. However, the mathematical methods that are implemented are complementary of those in these references, and they may be helpful for study more complicated situations in a future. © 2017 IOP Publishing Ltd and Sissa Medialab.  |l eng 
593 |a Departamento de Matemáticas Luis Santaló (IMAS), Buenos Aires, Argentina 
690 1 0 |a COSMIC SINGULARITY 
690 1 0 |a MODIFIED GRAVITY 
773 0 |d Institute of Physics Publishing, 2017  |g v. 2017  |k n. 7  |p J. Cosmol. Astroparticle Phys.  |x 14757516  |w (AR-BaUEN)CENRE-5511  |t Journal of Cosmology and Astroparticle Physics 
856 4 1 |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85033609648&doi=10.1088%2f1475-7516%2f2017%2f07%2f008&partnerID=40&md5=47d9da2df5c9914e73579ce4c1eccfd6  |y Registro en Scopus 
856 4 0 |u https://doi.org/10.1088/1475-7516/2017/07/008  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_14757516_v2017_n7_p_Santillan  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14757516_v2017_n7_p_Santillan  |y Registro en la Biblioteca Digital 
961 |a paper_14757516_v2017_n7_p_Santillan  |b paper  |c PE 
962 |a info:eu-repo/semantics/article  |a info:ar-repo/semantics/artículo  |b info:eu-repo/semantics/publishedVersion 
999 |c 86482 

Ejemplares similares