A New Duality Transformation for Fourth-order Gravity

被引:0
|
作者
Hans-Jürgen Schmidt
机构
来源
关键词
CONFORMAL RELATIONS IN FOURTH-ORDER GRAVITY;
D O I
暂无
中图分类号
学科分类号
摘要
We prove that for non-linear L = L(R), G = dL/dR ≠ 0 the Lagrangians L and ^L(^R) with ^L = 2R/G3 - 3L/G4, ^gij = G2 gij and ^R = 3R/G2 - 4L/G3 give conformally equivalent fourth-order field equations being dual to each other. The proof represents a new application of the fact that the operator □ - R/6 is conformally invariant.
引用
收藏
页码:859 / 867
页数:8
相关论文
共 50 条
  • [41] On the Oscillation of Fourth-Order Delay Differential Equations via Riccati Transformation
    Mazen, Mohamed
    El-Sheikh, Mohamed M. A.
    Tallah, Samah Euat
    Ismail, Gamal A. F.
    MATHEMATICS, 2025, 13 (03)
  • [42] A fourth-order orthogonal spline collocation method to fourth-order boundary value problems
    Kumar, Bhal Santosh
    Danumjaya, P.
    Kumar, Anil
    INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2019, 20 (05): : 460 - 470
  • [43] Comment on "Existence of Einstein static universes and their stability in fourth-order theories of gravity"
    Miritzis, John
    PHYSICAL REVIEW D, 2009, 79 (06):
  • [44] Kerr metric, geodesic motion, and Flyby Anomaly in fourth-order Conformal Gravity
    Varieschi, Gabriele U.
    GENERAL RELATIVITY AND GRAVITATION, 2014, 46 (06) : 1 - 25
  • [45] Kerr metric, geodesic motion, and Flyby Anomaly in fourth-order Conformal Gravity
    Gabriele U. Varieschi
    General Relativity and Gravitation, 2014, 46
  • [46] Astrophysical Tests of Kinematical Conformal Cosmology in Fourth-Order Conformal Weyl Gravity
    Varieschi, Gabriele U.
    GALAXIES, 2014, 2 (04): : 577 - 600
  • [47] Fourth-order coupled nonlinear Schrodinger equations for gravity waves on deep water
    Gramstad, Odin
    Trulsen, Karsten
    PHYSICS OF FLUIDS, 2011, 23 (06)
  • [48] FOURTH-ORDER HEMIVARIATIONAL INEQUALITIES
    Bonanno, Gabriele
    Di Bella, Beatrice
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2012, 5 (04): : 729 - 739
  • [49] Fourth-order Elliptic Equations
    Harrabi, A.
    ADVANCED NONLINEAR STUDIES, 2014, 14 (03) : 593 - 604
  • [50] Fourth-order velocity statistics
    Hill, RJ
    Wilczak, JM
    FLUID DYNAMICS RESEARCH, 2001, 28 (01) : 1 - 22