메뉴 건너뛰기




Volumn 8, Issue 1, 1998, Pages 47-70

Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays

Author keywords

Convex sets; Light rays; Lorentzian manifolds; Schwarzschild space time

Indexed keywords


EID: 0031993415     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(97)00020-X     Document Type: Article
Times cited : (9)

References (22)
  • 2
    • 0002648703 scopus 로고    scopus 로고
    • A Fermat principle on Lorentzian manifolds and applications
    • [2] F. Antonacci and P. Piccione, A Fermat principle on Lorentzian manifolds and applications, Applied Math. Letters 9 (1996) 91-95.
    • (1996) Applied Math. Letters , vol.9 , pp. 91-95
    • Antonacci, F.1    Piccione, P.2
  • 3
    • 0000506509 scopus 로고
    • On the existence of geodesics in static Lorentz manifolds with singular boundary
    • [3] V. Benci, D. Fortunato and F. Giannoni, On the existence of geodesics in static Lorentz manifolds with singular boundary, Ann. Sc. Norm. Sup. 19 (1992) 255-289.
    • (1992) Ann. Sc. Norm. Sup. , vol.19 , pp. 255-289
    • Benci, V.1    Fortunato, D.2    Giannoni, F.3
  • 4
    • 0001031010 scopus 로고    scopus 로고
    • Lightlike periodic trajectories in space-time
    • [4] A. Candela, Lightlike periodic trajectories in space-time, Ann. Mat Pura Appl. (IV) 171 (1996) 131-158.
    • (1996) Ann. Mat Pura Appl. (IV) , vol.171 , pp. 131-158
    • Candela, A.1
  • 6
    • 34047263340 scopus 로고
    • Domains of dependence
    • [6] R. Geroch, Domains of dependence, J. Math. Phys. 11 (1970) 437-449.
    • (1970) J. Math. Phys. , vol.11 , pp. 437-449
    • Geroch, R.1
  • 7
    • 0000337842 scopus 로고
    • On the existence of geodesics on stationary Lorentzian manifolds with convex boundary
    • [7] F. Giannoni and A. Masiello, On the existence of geodesics on stationary Lorentzian manifolds with convex boundary, J. Funct. Anal. 101 (1991) 340-369.
    • (1991) J. Funct. Anal. , vol.101 , pp. 340-369
    • Giannoni, F.1    Masiello, A.2
  • 9
    • 0031480004 scopus 로고    scopus 로고
    • A variational theory for light rays in stably causal Lorentzian manifolds: Regularity and multiplicity results
    • [9] F. Giannoni, A. Masiello and P. Piccione, A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results, Comm. Math. Phys. 187 (1997) 371-415.
    • (1997) Comm. Math. Phys. , vol.187 , pp. 371-415
    • Giannoni, F.1    Masiello, A.2    Piccione, P.3
  • 12
    • 34250291730 scopus 로고    scopus 로고
    • The critical points theory for the closed geodesics problem
    • [12] F. Mercuri, The critical points theory for the closed geodesics problem, Math. Z. 156 (177) 231-245.
    • Math. Z. , vol.156 , Issue.177 , pp. 231-245
    • Mercuri, F.1
  • 13
    • 0002702476 scopus 로고
    • The embedding problem for Riemannian manifolds
    • [13] J. Nash, The embedding problem for Riemannian manifolds, Ann. Math. 63 (1956) 20-63.
    • (1956) Ann. Math. , vol.63 , pp. 20-63
    • Nash, J.1
  • 15
    • 0001156234 scopus 로고
    • Homotopy theory in infinite dimensional manifolds
    • [15] R. Palais, Homotopy theory in infinite dimensional manifolds, Topology 5 (1966) 1-16.
    • (1966) Topology , vol.5 , pp. 1-16
    • Palais, R.1
  • 16
    • 36149035770 scopus 로고
    • On Fermat's principle in general relativity: I. The general case
    • [16] V. Perlick, On Fermat's principle in general relativity: I. The general case, Class. Quantum Grav. 7 (1990) 1319-1331.
    • (1990) Class. Quantum Grav. , vol.7 , pp. 1319-1331
    • Perlick, V.1
  • 17
    • 0001966558 scopus 로고
    • The brachistochrone problem in a stationary space-time
    • [17] V. Perlick, The brachistochrone problem in a stationary space-time, J. Math. Phys. 32 (11) (1991).
    • (1991) J. Math. Phys. , vol.32 , Issue.11
    • Perlick, V.1
  • 18
    • 0031078323 scopus 로고    scopus 로고
    • On the existence of light-like geodesics on conformally stationary Lorentzian manifolds
    • [18] P. Piccione, On the existence of light-like geodesics on conformally stationary Lorentzian manifolds, Journal of Nonlinear Analysis T.M.A. 28 (1997) 611-623.
    • (1997) Journal of Nonlinear Analysis T.M.A. , vol.28 , pp. 611-623
    • Piccione, P.1
  • 19
    • 0037968073 scopus 로고
    • Un risultato di locale unicitá per geodetiche in varietá con bordo
    • [19] D. Scolozzi, Un risultato di locale unicitá per geodetiche in varietá con bordo, Boll. UMI 6 (1986) 309-327.
    • (1986) Boll. UMI , vol.6 , pp. 309-327
    • Scolozzi, D.1
  • 21
    • 0000145885 scopus 로고
    • Closed geodesics on non-compact Riemannian manifolds
    • [21] G. Thorbergsson, Closed geodesics on non-compact Riemannian manifolds, Math. Z. 159 (1978) 249-258.
    • (1978) Math. Z. , vol.159 , pp. 249-258
    • Thorbergsson, G.1
  • 22
    • 0001923368 scopus 로고
    • A Morse theory for geodesics on a Lorentz manifold
    • [22] K. Uhlenbeck, A Morse theory for geodesics on a Lorentz manifold, Topology 14 (1975) 69-90.
    • (1975) Topology , vol.14 , pp. 69-90
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.