메뉴 건너뛰기




Volumn 304, Issue 1, 2011, Pages 125-174

The Spectral Action and Cosmic Topology

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79955088002     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-011-1211-3     Document Type: Article
Times cited : (27)

References (41)
  • 1
    • 34247394618 scopus 로고    scopus 로고
    • Cosmic microwave background alignment in multi-connected universes
    • Aurich R., Lustig S., Steiner F., Then H.: Cosmic microwave background alignment in multi-connected universes. Class. Quantum Grav. 24, 1879-1894 (2007).
    • (2007) Class. Quantum Grav. , vol.24 , pp. 1879-1894
    • Aurich, R.1    Lustig, S.2    Steiner, F.3    Then, H.4
  • 2
    • 0002594991 scopus 로고    scopus 로고
    • The Dirac operator on space forms of positive curvature
    • Bär C.: The Dirac operator on space forms of positive curvature. J. Math. Soc. Japan 48(1), 69-83 (1996).
    • (1996) J. Math. Soc. Japan , vol.48 , Issue.1 , pp. 69-83
    • Bär, C.1
  • 3
    • 0002171129 scopus 로고
    • The Dirac operator on homogeneous spaces and its spectrum on 3-dimensional lens spaces
    • Bär C.: The Dirac operator on homogeneous spaces and its spectrum on 3-dimensional lens spaces. Arch. Math. 59, 65-79 (1992).
    • (1992) Arch. Math. , vol.59 , pp. 65-79
    • Bär, C.1
  • 4
    • 33646785113 scopus 로고    scopus 로고
    • Séminaires & Congrès, 4. Bouoguignon J. P., Bânson, T., Hija-â, O. (eds.) Global Anal. and Harmonic Anal. (Luming, 2000), Paris: French Math. Soc
    • Bär, C.: Dependence of Dirac Spectrum on the Spin Structure. In: Séminaires & Congrès, 4. Bouoguignon J. P., Bânson, T., Hija-â, O. (eds.) Global Anal. and Harmonic Anal. (Luming, 2000), Paris: French Math. Soc., 2000, pp. 17-33.
    • (2000) Dependence of Dirac Spectrum on the Spin Structure , pp. 17-33
    • Bär, C.1
  • 8
    • 0031185123 scopus 로고    scopus 로고
    • The spectral action principle
    • Chamseddine A., Connes A.: The spectral action principle. Commun. Math. Phys. 186(3), 731-750 (1997).
    • (1997) Commun. Math. Phys. , vol.186 , Issue.3 , pp. 731-750
    • Chamseddine, A.1    Connes, A.2
  • 9
    • 71249152367 scopus 로고    scopus 로고
    • The uncanny precision of the spectral action
    • Chamseddine A., Connes A.: The uncanny precision of the spectral action. Commun. Math. Phys. 293, 867-897 (2010).
    • (2010) Commun. Math. Phys. , vol.293 , pp. 867-897
    • Chamseddine, A.1    Connes, A.2
  • 10
    • 36049027776 scopus 로고    scopus 로고
    • Gravity and the standard model with neutrino mixing
    • Chamseddine A., Connes A., Marcolli M.: Gravity and the standard model with neutrino mixing. Adv. Theor. Math. Phys. 11(6), 991-1089 (2007).
    • (2007) Adv. Theor. Math. Phys. , vol.11 , Issue.6 , pp. 991-1089
    • Chamseddine, A.1    Connes, A.2    Marcolli, M.3
  • 11
    • 0030359659 scopus 로고    scopus 로고
    • Gravity coupled with matter and foundation of noncommutative geometry
    • Connes A.: Gravity coupled with matter and foundation of noncommutative geometry. Commun. Math. Phys. 182, 155-176 (1996).
    • (1996) Commun. Math. Phys. , vol.182 , pp. 155-176
    • Connes, A.1
  • 13
    • 26444441370 scopus 로고    scopus 로고
    • Prescribing eigenvalues of the Dirac operator
    • Dahl M.: Prescribing eigenvalues of the Dirac operator. Manus. Math. 118, 191-199 (2005).
    • (2005) Manus. Math. , vol.118 , pp. 191-199
    • Dahl, M.1
  • 14
    • 0038801524 scopus 로고    scopus 로고
    • Dirac eigenvalues for generic metrics on three-manifolds
    • Dahl M.: Dirac eigenvalues for generic metrics on three-manifolds. Ann. Global Anal. Geom. 24, 95-100 (2003).
    • (2003) Ann. Global Anal. Geom. , vol.24 , pp. 95-100
    • Dahl, M.1
  • 16
    • 4644347697 scopus 로고    scopus 로고
    • Spherical universe topology and the Casimir effect
    • Dowker J. S.: Spherical universe topology and the Casimir effect. Class. Quant. Grav. 21, 4247-4271 (2004).
    • (2004) Class. Quant. Grav. , vol.21 , pp. 4247-4271
    • Dowker, J.S.1
  • 18
    • 38549150397 scopus 로고    scopus 로고
    • 8
    • 8. Manus. Math. 125(3), 383-409 (2008).
    • (2008) Manus. Math. , vol.125 , Issue.3 , pp. 383-409
    • Ginoux, N.1
  • 19
    • 0035540083 scopus 로고    scopus 로고
    • Detectability of cosmic topology in almost flat universes
    • Gomero G. I., Reboucas M. J., Tavakol R.: Detectability of cosmic topology in almost flat universes. Class. Quant. Grav. 18, 4461-4476 (2001).
    • (2001) Class. Quant. Grav. , vol.18 , pp. 4461-4476
    • Gomero, G.I.1    Reboucas, M.J.2    Tavakol, R.3
  • 20
    • 0034706491 scopus 로고    scopus 로고
    • Spikes in cosmic crystallography II: topological signature of compact flat universes
    • Gomero G. I., Reboucas M. J., Teixeira A. F. F.: Spikes in cosmic crystallography II: topological signature of compact flat universes. Phys. Lett. A 275, 355-367 (2000).
    • (2000) Phys. Lett. A , vol.275 , pp. 355-367
    • Gomero, G.I.1    Reboucas, M.J.2    Teixeira, A.F.F.3
  • 21
    • 33646063975 scopus 로고
    • Harmonic spinors
    • Hitchin N.: Harmonic spinors. Adv. Math. 14, 1-55 (1974).
    • (1974) Adv. Math. , vol.14 , pp. 1-55
    • Hitchin, N.1
  • 22
    • 12044250651 scopus 로고
    • Small-scale cosmic microwave background anisotropies as a probe of the geometry of the universe
    • Kamionkowski M., Spergel D. N., Sugiyama N.: Small-scale cosmic microwave background anisotropies as a probe of the geometry of the universe. Astrophys. J. 426, L57-60 (1994).
    • (1994) Astrophys. J. , vol.426 , pp. 57-60
    • Kamionkowski, M.1    Spergel, D.N.2    Sugiyama, N.3
  • 24
    • 0036377644 scopus 로고    scopus 로고
    • Eigenmodes of three-dimensional spherical spaces and their applications to cosmology
    • Lehoucq R., Weeks J., Uzan J. P., Gausmann E., Luminet J. P.: Eigenmodes of three-dimensional spherical spaces and their applications to cosmology. Class. Quant. Grav. 19, 4683-4708 (2002).
    • (2002) Class. Quant. Grav. , vol.19 , pp. 4683-4708
    • Lehoucq, R.1    Weeks, J.2    Uzan, J.P.3    Gausmann, E.4    Luminet, J.P.5
  • 25
    • 0142041487 scopus 로고    scopus 로고
    • Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
    • Luminet J. P., Weeks J., Riazuelo A., Lehoucq R.: Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background. Nature 425, 593-595 (2003).
    • (2003) Nature , vol.425 , pp. 593-595
    • Luminet, J.P.1    Weeks, J.2    Riazuelo, A.3    Lehoucq, R.4
  • 27
    • 3242684040 scopus 로고    scopus 로고
    • APS instability and the topology of the brane-world
    • McInnes B.: APS instability and the topology of the brane-world. Phys. Lett. B 593(1-4), 10-16 (2004).
    • (2004) Phys. Lett. B , vol.593 , Issue.1-4 , pp. 10-16
    • McInnes, B.1
  • 28
    • 70249106783 scopus 로고    scopus 로고
    • Natural inflation mechanism in asymptotic noncommutative geometry
    • Nelson W., Sakellariadou M.: Natural inflation mechanism in asymptotic noncommutative geometry. Phys. Lett. B 680, 263-266 (2009).
    • (2009) Phys. Lett. B , vol.680 , pp. 263-266
    • Nelson, W.1    Sakellariadou, M.2
  • 29
    • 34548291940 scopus 로고    scopus 로고
    • Imprints of spherical nontrivial topologies on the cosmic microwave background
    • Niarchou A., Jaffe A.: Imprints of spherical nontrivial topologies on the cosmic microwave background. Phys. Rev. Lett. 99, 081302 (2007).
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 081302
    • Niarchou, A.1    Jaffe, A.2
  • 31
    • 0013199736 scopus 로고    scopus 로고
    • The Dirac spectrum of Bieberbach manifolds
    • Pfäffle F.: The Dirac spectrum of Bieberbach manifolds. J. Geom. Phys. 35, 367-385 (2000).
    • (2000) J. Geom. Phys. , vol.35 , pp. 367-385
    • Pfäffle, F.1
  • 32
    • 3042820711 scopus 로고    scopus 로고
    • Simulating Cosmic Microwave Background maps in multi-connected spaces
    • Riazuelo A., Uzan J. P., Lehoucq R., Weeks J.: Simulating Cosmic Microwave Background maps in multi-connected spaces. Phys. Rev. D 69, 103514 (2004).
    • (2004) Phys. Rev. D , vol.69 , pp. 103514
    • Riazuelo, A.1    Uzan, J.P.2    Lehoucq, R.3    Weeks, J.4
  • 33
    • 3042786063 scopus 로고    scopus 로고
    • Cosmic microwave background anisotropies in multiconnected flat spaces
    • Riazuelo A., Weeks J., Uzan J. P., Lehoucq R., Luminet J. P.: Cosmic microwave background anisotropies in multiconnected flat spaces. Phys. Rev. D 69, 103518 (2004).
    • (2004) Phys. Rev. D , vol.69 , pp. 103518
    • Riazuelo, A.1    Weeks, J.2    Uzan, J.P.3    Lehoucq, R.4    Luminet, J.P.5
  • 34
    • 68349111807 scopus 로고    scopus 로고
    • The residual gravity acceleration effect in the Poincaré dodecahedral space
    • Roukema B. F., Rózański P. T.: The residual gravity acceleration effect in the Poincaré dodecahedral space. Astron. and Astrophy. 502, 27 (2009).
    • (2009) Astron. And Astrophy. , vol.502 , pp. 27
    • Roukema, B.F.1    Rózański, P.T.2
  • 37
    • 0142117048 scopus 로고    scopus 로고
    • A high resolution foreground cleaned CMB map from WMAP
    • Tegmark M., de Oliveira-Costa A., Hamilton A.: A high resolution foreground cleaned CMB map from WMAP. Phys. Rev. D. 68, 123523 (2003).
    • (2003) Phys. Rev. D. , vol.68 , pp. 123523
    • Tegmark, M.1    de Oliveira-costa, A.2    Hamilton, A.3
  • 39
    • 1642408382 scopus 로고    scopus 로고
    • Cosmic microwave background constraints on lens spaces
    • Uzan J. P., Riazuelo A., Lehoucq R., Weeks J.: Cosmic microwave background constraints on lens spaces. Phys. Rev. D 69, 043003 (2004).
    • (2004) Phys. Rev. D , vol.69 , pp. 043003
    • Uzan, J.P.1    Riazuelo, A.2    Lehoucq, R.3    Weeks, J.4
  • 40
    • 34247376510 scopus 로고    scopus 로고
    • Dodecahedral topology fails to explain quadrupole-octupole alignment
    • Weeks J., Gundermann J.: Dodecahedral topology fails to explain quadrupole-octupole alignment. Class. Quant. Grav. 24, 1863-1866 (2007).
    • (2007) Class. Quant. Grav. , vol.24 , pp. 1863-1866
    • Weeks, J.1    Gundermann, J.2
  • 41
    • 0037276781 scopus 로고    scopus 로고
    • Detecting topology in a nearly flat spherical universe
    • Weeks J., Lehoucq R., Uzan J. P.: Detecting topology in a nearly flat spherical universe. Class. Quant. Grav. 20, 1529-1542 (2003).
    • (2003) Class. Quant. Grav. , vol.20 , pp. 1529-1542
    • Weeks, J.1    Lehoucq, R.2    Uzan, J.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.