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

来源：

UNIVERSE | 2019年 / 5卷 / 12期

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

页数：24

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