메뉴 건너뛰기




Volumn 83, Issue 8, 2011, Pages

Gauss-Bonnet Lagrangian GlnG and cosmological exact solutions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79960756870     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.83.083513     Document Type: Article
Times cited : (40)

References (71)
  • 3
    • 47649091985 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.78.023512
    • H.-J. Schmidt, Phys. Rev. D PRVDAQ 1550-7998 78, 023512 (2008); 10.1103/PhysRevD.78.023512
    • (2008) Phys. Rev. D , vol.78 , pp. 023512
    • Schmidt, H.-J.1
  • 4
    • 79960825082 scopus 로고    scopus 로고
    • H.-J. Schmidt, arXiv:0803.0920v2.
    • H.-J. Schmidt arXiv:0803.0920v2.
  • 5
    • 77951532013 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.451
    • T. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.451
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 451
    • Sotiriou, T.1    Faraoni, V.2
  • 6
    • 78650539905 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2010.08.001
    • A. Mazumdar and J. Rocher, Phys. Rep. 497, 85 (2011). PRPLCM 0370-1573 10.1016/j.physrep.2010.08.001
    • (2011) Phys. Rep. , vol.497 , pp. 85
    • Mazumdar, A.1    Rocher, J.2
  • 7
    • 79960797060 scopus 로고    scopus 로고
    • H. Motohashi, A. Starobinsky, and J. Yokoyama, arXiv:1101.0716
    • H. Motohashi, A. Starobinsky, and J. Yokoyama, arXiv:1101.0716.
  • 10
    • 1342347051 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.72.72
    • C. Gregory, Phys. Rev. 72, 72 (1947). PHRVAO 0031-899X 10.1103/PhysRev.72.72
    • (1947) Phys. Rev. , vol.72 , pp. 72
    • Gregory, C.1
  • 11
    • 0002245739 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(80)90670-X
    • A. Starobinsky, Phys. Lett. 91B, 99 (1980). PYLBAJ 0370-2693 10.1016/0370-2693(80)90670-X
    • (1980) Phys. Lett. , vol.91 , pp. 99
    • Starobinsky, A.1
  • 14
    • 84985666763 scopus 로고
    • ASNAAN 0004-6337 10.1002/asna.2113080309
    • H.-J. Schmidt, Astron. Nachr. 308, 183 (1987). ASNAAN 0004-6337 10.1002/asna.2113080309
    • (1987) Astron. Nachr. , vol.308 , pp. 183
    • Schmidt, H.-J.1
  • 16
    • 0000339360 scopus 로고
    • MAZEAX 0025-5874 10.1007/BF01378338
    • R. Bach, Math. Z. MAZEAX 0025-5874 9, 110 (1921). 10.1007/BF01378338
    • (1921) Math. Z. , vol.9 , pp. 110
    • Bach, R.1
  • 18
    • 79960772601 scopus 로고    scopus 로고
    • V. Dzhunushaliev H.-J. Schmidt arXiv:gr-qc/9908049
    • V. Dzhunushaliev H.-J. Schmidt arXiv:gr-qc/9908049.
  • 19
    • 26344479387 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.16.953
    • K. Stelle, Phys. Rev. D PRVDAQ 0556-2821 16, 953 (1977); 10.1103/PhysRevD.16.953
    • (1977) Phys. Rev. D , vol.16 , pp. 953
    • Stelle, K.1
  • 20
    • 0002069215 scopus 로고
    • GRGVA8 0001-7701 10.1007/BF00760427
    • K. Stelle, Gen. Relativ. Gravit. GRGVA8 0001-7701 9, 353 (1978). 10.1007/BF00760427
    • (1978) Gen. Relativ. Gravit. , vol.9 , pp. 353
    • Stelle, K.1
  • 21
    • 79960791119 scopus 로고
    • edited by J. Flachsmeyer Z. Frolik F. Terpe (Ernst-Moritz-Arndt- Universität, Greifswald
    • J. Flachsmeyer, D. Cieslik, H.-J. Schmidt, and L. Wenzel, Wissenschaftliche Beiträge, edited by, J. Flachsmeyer, Z. Frolik, F. Terpe, (Ernst-Moritz-Arndt-Universität, Greifswald, 1980), p. 33.
    • (1980) Wissenschaftliche Beiträge , pp. 33
    • Flachsmeyer, J.1    Cieslik, D.2    Schmidt, H.-J.3    Wenzel, L.4
  • 22
    • 79960774316 scopus 로고    scopus 로고
    • A review of is found in MAREAR
    • A review of is found in J. Dieudonné, Mathematical reviews MAREAR, 83, 01026.
    • Mathematical Reviews , vol.83 , pp. 01026
    • Dieudonné, J.1
  • 23
    • 0000984772 scopus 로고
    • ANMAAH 0003-486X 10.2307/1968467
    • C. Lanczos, Ann. Math. ANMAAH 0003-486X 39, 842 (1938). Of course, in those days, the majority of papers on differential geometry in mathematical journals restricted attention to the positive definite signature of the metric, and only later did it become clear which of the results can more or less easily be rewritten for the Lorentzian signature. For the cases discussed here, this can always be done. 10.2307/1968467
    • (1938) Ann. Math. , vol.39 , pp. 842
    • Lanczos, C.1
  • 25
    • 0001748331 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1665613
    • D. Lovelock J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 12, 498 (1971). Lovelock explicitly refers to Gauss's theorema egregium from 1827. But comparing notions from the middle of the 19th century mathematics (Gauss died in 1855) with today's physics contains several sources of possible misunderstandings: The word topology (in German, Topologie) was already in use, but without a strict definition. A Riemannian space was only considered as a certain subset of a higher-dimensional Euclidean space, whereas today, a (pseudo)-Riemannian space has its own intrinsic definition, and only as curiosity or to help simplify equations, e.g. in the search for exact solutions, it will be noted what the embedding class of it may be. 10.1063/1.1665613
    • (1971) J. Math. Phys. (N.Y.) , vol.12 , pp. 498
    • Lovelock, D.1
  • 26
    • 58149335521 scopus 로고    scopus 로고
    • GRGVA8 0001-7701 10.1007/s10714-008-0658-9
    • M. Farhoudi, Gen. Relativ. Gravit. GRGVA8 0001-7701 41, 117 (2009); 10.1007/s10714-008-0658-9
    • (2009) Gen. Relativ. Gravit. , vol.41 , pp. 117
    • Farhoudi, M.1
  • 27
    • 79960789043 scopus 로고    scopus 로고
    • M. Farhoudi arXiv:gr-qc/9510060v4
    • M. Farhoudi arXiv:gr-qc/9510060v4.
  • 29
    • 79960776218 scopus 로고    scopus 로고
    • Q. Exirifard arXiv:0911.2872v2
    • Q. Exirifard arXiv:0911.2872v2.
  • 31
    • 34548379543 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.76.044021
    • F. Canfora, A. Giacomini, and S. Willison, Phys. Rev. D PRVDAQ 1550-7998 76, 044021 (2007); 10.1103/PhysRevD.76.044021
    • (2007) Phys. Rev. D , vol.76 , pp. 044021
    • Canfora, F.1    Giacomini, A.2    Willison, S.3
  • 32
    • 79960817003 scopus 로고    scopus 로고
    • F. Canfora A. Giacomini S. Willison, arXiv:0706.2891v2
    • F. Canfora A. Giacomini S. Willison arXiv:0706.2891v2.
  • 33
    • 78651316604 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.82.104024
    • E. Gravanis, Phys. Rev. D PRVDAQ 1550-7998 82, 104024 (2010). 10.1103/PhysRevD.82.104024
    • (2010) Phys. Rev. D , vol.82 , pp. 104024
    • Gravanis, E.1
  • 35
    • 79251526167 scopus 로고    scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.124.711
    • T. Takahashi and J. Soda, Prog. Theor. Phys. 124, 711 (2010). PTPKAV 0033-068X 10.1143/PTP.124.711
    • (2010) Prog. Theor. Phys. , vol.124 , pp. 711
    • Takahashi, T.1    Soda, J.2
  • 36
    • 78650991447 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/28/1/015014
    • A. Baykal and I. Delice, Classical Quantum Gravity CQGRDG 0264-9381 28, 015014 (2011); 10.1088/0264-9381/28/1/015014
    • (2011) Classical Quantum Gravity , vol.28 , pp. 015014
    • Baykal, A.1    Delice, I.2
  • 37
    • 79960778780 scopus 로고    scopus 로고
    • A. Baykal, I. Delice, arXiv:1012.4246v1
    • A. Baykal I. Delice arXiv:1012.4246v1.
  • 38
    • 49449099756 scopus 로고    scopus 로고
    • MPLAEQ 0217-7323 10.1142/S0217732308027497
    • C. Garraffo and G. Giribet, Mod. Phys. Lett. A 23, 1801 (2008); MPLAEQ 0217-7323 10.1142/S0217732308027497
    • (2008) Mod. Phys. Lett. A , vol.23 , pp. 1801
    • Garraffo, C.1    Giribet, G.2
  • 39
    • 79960811819 scopus 로고    scopus 로고
    • Garraffo C., Giribet G., arXiv:0805.3575v4.
    • C. Garraffo G. Giribet arXiv:0805.3575v4.
  • 40
    • 79960787014 scopus 로고    scopus 로고
    • D. Rodrigues, F. de Salles, I. Shapiro, and A. Starobinsky, arXiv:1101.5028v1
    • D. Rodrigues, F. de Salles, I. Shapiro, and A. Starobinsky, arXiv:1101.5028v1.
  • 41
    • 79551553415 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/28/3/035002
    • I. Saltas and M. Hindmarsh, Classical Quantum Gravity CQGRDG 0264-9381 28, 035002 (2011). 10.1088/0264-9381/28/3/035002
    • (2011) Classical Quantum Gravity , vol.28 , pp. 035002
    • Saltas, I.1    Hindmarsh, M.2
  • 42
    • 77953082943 scopus 로고    scopus 로고
    • GRGVA8 0001-7701 10.1007/s10714-009-0907-6
    • R. Biswas and S. Chakraborty, Gen. Relativ. Gravit. GRGVA8 0001-7701 42, 1311 (2010). 10.1007/s10714-009-0907-6
    • (2010) Gen. Relativ. Gravit. , vol.42 , pp. 1311
    • Biswas, R.1    Chakraborty, S.2
  • 43
    • 34250182402 scopus 로고    scopus 로고
    • IMPDEO 0218-2718 10.1142/S0218271807010419
    • I. Brevik and J. Quiroga, Int. J. Mod. Phys. D 16, 817 (2007). IMPDEO 0218-2718 10.1142/S0218271807010419
    • (2007) Int. J. Mod. Phys. D , vol.16 , pp. 817
    • Brevik, I.1    Quiroga, J.2
  • 44
    • 78650980961 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.82.063526
    • A. de Felice, J.-M. Gerard, and T. Suyama, Phys. Rev. D PRVDAQ 1550-7998 82, 063526 (2010). 10.1103/PhysRevD.82.063526
    • (2010) Phys. Rev. D , vol.82 , pp. 063526
    • De Felice, A.1    Gerard, J.-M.2    Suyama, T.3
  • 47
    • 77955322670 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.81.124007
    • H. Maeda, Phys. Rev. D PRVDAQ 1550-7998 81, 124007 (2010). 10.1103/PhysRevD.81.124007
    • (2010) Phys. Rev. D , vol.81 , pp. 124007
    • Maeda, H.1
  • 49
    • 78649874554 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/27/22/225002
    • J. Oliva and S. Ray, Classical Quantum Gravity CQGRDG 0264-9381 27, 225002 (2010). 10.1088/0264-9381/27/22/225002
    • (2010) Classical Quantum Gravity , vol.27 , pp. 225002
    • Oliva, J.1    Ray, S.2
  • 50
    • 55649116654 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.78.084038
    • V. Rosa and P. Letelier, Phys. Rev. D PRVDAQ 1550-7998 78, 023512 (2008). 10.1103/PhysRevD.78.084038
    • (2008) Phys. Rev. D , vol.78 , pp. 023512
    • Rosa, V.1    Letelier, P.2
  • 52
    • 78650642024 scopus 로고    scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.124.503
    • A. de Felice and T. Tanaka, Prog. Theor. Phys. PTPKAV 0033-068X 124, 503 (2010). 10.1143/PTP.124.503
    • (2010) Prog. Theor. Phys. , vol.124 , pp. 503
    • De Felice, A.1    Tanaka, T.2
  • 54
    • 78149497622 scopus 로고    scopus 로고
    • GRGVA8 0001-7701 10.1007/s10714-010-1031-3
    • O. Gorbunova and L. Sebastiani, Gen. Relativ. Gravit. GRGVA8 0001-7701 42, 2873 (2010). 10.1007/s10714-010-1031-3
    • (2010) Gen. Relativ. Gravit. , vol.42 , pp. 2873
    • Gorbunova, O.1    Sebastiani, L.2
  • 57
    • 0041348106 scopus 로고    scopus 로고
    • Statefinder - A new geometrical diagnostic of dark energy
    • DOI 10.1134/1.1574831
    • [V. Sahni T. Saini A. Starobinsky U. Alam JETP Lett. 77, 201 (2003)]. JTPLA2 0021-3640 10.1134/1.1574831 (Pubitemid 40830427)
    • (2003) JETP Letters , vol.77 , Issue.5 , pp. 201-206
    • Sahni, V.1    Saini, T.D.2    Starobinsky, A.A.3    Alam, U.4
  • 59
    • 79960781410 scopus 로고    scopus 로고
    • Farajollahi H., Salehi A., arXiv:1010.3589v3.
    • H. Farajollahi A. Salehi arXiv:1010.3589v3.
  • 60
    • 77049110283 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2010.02.019
    • M. Dabrowski and J. Garecki, Phys. Lett. B 686, 6 (2010). PYLBAJ 0370-2693 10.1016/j.physletb.2010.02.019
    • (2010) Phys. Lett. B , vol.686 , pp. 6
    • Dabrowski, M.1    Garecki, J.2
  • 61
    • 77957309969 scopus 로고    scopus 로고
    • IJTPBM 0020-7748 10.1007/s10773-010-0475-2
    • M. Jamil, Int. J. Theor. Phys. 49, 2829 (2010). IJTPBM 0020-7748 10.1007/s10773-010-0475-2
    • (2010) Int. J. Theor. Phys. , vol.49 , pp. 2829
    • Jamil, M.1
  • 62
    • 79960750437 scopus 로고    scopus 로고
    • Capozziello S., Izzo L., arXiv:1003.5319v1
    • S. Capozziello and L. Izzo, arXiv:1003.5319v1
  • 63
    • 77956748189 scopus 로고    scopus 로고
    • AAEJAF 0004-6361 10.1051/0004-6361/201014522
    • S. Capozziello L. Izzo Astron. Astrophys. 519, A73 (2010). AAEJAF 0004-6361 10.1051/0004-6361/201014522
    • (2010) Astron. Astrophys. , vol.519 , pp. 73
    • Capozziello, S.1    Izzo, L.2
  • 64
    • 0001255041 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.529267
    • H.-J. Schmidt, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 32, 1562 (1991). 10.1063/1.529267
    • (1991) J. Math. Phys. (N.Y.) , vol.32 , pp. 1562
    • Schmidt, H.-J.1
  • 65
    • 0000294238 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.46.5383
    • V. Frolov, Phys. Rev. D PRVDAQ 0556-2821 46, 5383 (1992). 10.1103/PhysRevD.46.5383
    • (1992) Phys. Rev. D , vol.46 , pp. 5383
    • Frolov, V.1
  • 67
    • 79960817485 scopus 로고    scopus 로고
    • Mignemi S., H.-J. Schmidt, arXiv:gr-qc/9501024.
    • S. Mignemi H.-J. Schmidt arXiv:gr-qc/9501024.
  • 68
    • 79960768531 scopus 로고    scopus 로고
    • Grumiller D., Jackiw R., arXiv:0712.3775v1
    • D. Grumiller and R. Jackiw, arXiv:0712.3775v1;
  • 70
    • 79952224984 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.83.043501
    • M. Arabsalmani and V. Sahni, Phys. Rev. D PRVDAQ 1550-7998 83, 043501 (2011). 10.1103/PhysRevD.83.043501
    • (2011) Phys. Rev. D , vol.83 , pp. 043501
    • Arabsalmani, M.1    Sahni, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.