Violation of Causality in $f(Q)$ Gravity

التفاصيل البيبلوغرافية
العنوان: Violation of Causality in $f(Q)$ Gravity
المؤلفون: Silva, A. M., Rebouças, M. J., Lemos, N. A.
سنة النشر: 2024
المجموعة: Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Theory
الوصف: There is ongoing interest in the nonmetricity formulation of gravity. The nonlinear extension of the theory, called $f(Q)$ gravity, has recently been proposed and offers a promising avenue for addressing some of the long-standing challenges in cosmology and fundamental physics. A number of solutions have already been found that have confirmed the usefulness of the theory for astrophysics and cosmology. Motivated by earlier work on G\"odel-type spacetimes, we investigate whether $f(Q)$ gravity admits cosmological solutions that violate causality. We find that G\"odel-type metrics do not appear to be compatible with this modified gravity theory unless it reduces to the trivial case of symmetric teleparallel gravity, corresponding to $f(Q)=AQ+B$, which is equivalent to general relativity. For $f(Q)$ more general than linear, the theory seems endowed with some chronology protection mechanism that shields it from G\"odel-like causality violations.
Comment: 19 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.04750
رقم الأكسشن: edsarx.2407.04750
قاعدة البيانات: arXiv