New Cases of Universality Theorem for Gravitational Theories

التفاصيل البيبلوغرافية
العنوان: New Cases of Universality Theorem for Gravitational Theories
المؤلفون: Fatibene, L., Ferraris, M., Francaviglia, M.
المصدر: Class.Quant.Grav.27:165021,2010
سنة النشر: 2010
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: The "Universality Theorem" for gravity shows that f(R) theories (in their metric-affine formulation) in vacuum are dynamically equivalent to vacuum Einstein equations with suitable cosmological constants. This holds true for a generic (i.e. except sporadic degenerate cases) analytic function f(R) and standard gravity without cosmological constant is reproduced if f is the identity function (i.e. f(R)=R). The theorem is here extended introducing in dimension 4 a 1-parameter family of invariants R' inspired by the Barbero-Immirzi formulation of GR (which in the Euclidean sector includes also selfdual formulation). It will be proven that f(R') theories so defined are dynamically equivalent to the corresponding metric-affine f(R) theory. In particular for the function f(R)=R the standard equivalence between GR and Holst Lagrangian is obtained.
Comment: 10 pages, few typos corrected
نوع الوثيقة: Working Paper
DOI: 10.1088/0264-9381/27/16/165021
الوصول الحر: http://arxiv.org/abs/1003.1617Test
رقم الانضمام: edsarx.1003.1617
قاعدة البيانات: arXiv