Some Mathematical Aspects of f(R)-Gravity with Torsion: Cauchy Problem and Junction Conditions

被引:5
|
作者
Vignolo, Stefano [1 ]
机构
[1] Univ Genoa, DIME Sez Metodi & Modelli Matemat, Via Opera Pia 15, I-16145 Genoa, Italy
关键词
Cauchy problem; junction conditions; Einstein-Cartan gravity; f(R)-gravity with torsion; METRIC-AFFINE F(R)-GRAVITY; MODIFIED GRAVITY; TENSOR DISTRIBUTIONS; GENERAL-RELATIVITY; F(R) THEORIES; EINSTEIN; MATTER; FLUID; FIELD; SPIN;
D O I
10.3390/universe5120224
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss the Cauchy problem and the junction conditions within the framework of f(R)-gravity with torsion. We derive sufficient conditions to ensure the well-posedness of the initial value problem, as well as general conditions to join together on a given hypersurface two different solutions of the field equations. The stated results can be useful to distinguish viable from nonviable f(R)-models with torsion.
引用
收藏
页数:24
相关论文
共 50 条
  • [1] On the junction conditions in f (R)-gravity with torsion
    Vignolo, Stefano
    Cianci, Roberto
    Carloni, Sante
    CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (09)
  • [2] THE CAUCHY PROBLEM FOR f(R)-GRAVITY: AN OVERVIEW
    Capozziello, S.
    Vignolo, S.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2012, 9 (01)
  • [3] f(R) gravity with spacetime torsion
    Kumar, Hitender
    Paul, Tanmoy
    SenGupta, Soumitra
    EPL, 2024, 147 (02)
  • [4] Torsion/nonmetricity duality in f(R) gravity
    Damianos Iosifidis
    Anastasios C. Petkou
    Christos G. Tsagas
    General Relativity and Gravitation, 2019, 51
  • [5] Torsion/nonmetricity duality in f(R) gravity
    Iosifidis, Damianos
    Petkou, Anastasios C.
    Tsagas, Christos G.
    GENERAL RELATIVITY AND GRAVITATION, 2019, 51 (05)
  • [6] Some aspects of an exponential f(R) modified gravity
    Rezaei, Amir H.
    Azizi, T.
    Rashidi, N.
    PHYSICA SCRIPTA, 2023, 98 (11)
  • [7] A note on the junction conditions in f(Q)-gravity
    Vignolo, Stefano
    Esposito, Fabrizio
    Carloni, Sante
    CLASSICAL AND QUANTUM GRAVITY, 2024, 41 (18)
  • [8] Junction conditions in Palatinif(R) gravity
    Olmo, Gonzalo J.
    Rubiera-Garcia, Diego
    CLASSICAL AND QUANTUM GRAVITY, 2020, 37 (21)
  • [9] Dirac fields in f(R)-gravity with torsion
    Fabbri, Luca
    Vignolo, Stefano
    CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (12)
  • [10] The Cauchy problem in hybrid metric-Palatini f(X)-gravity
    Capozziello, Salvatore
    Harko, Tiberiu
    Lobo, Francisco S. N.
    Olmo, Gonzalo J.
    Vignolo, Stefano
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (05)