Geometric Theories of Gravity

Dear Colleagues,

The idea for this Special Issue emerged during discussions involving some of the participants of the XII edition of the international Bolyai–Gauss–Lobachevsky conference held in Budapest in late spring 2024. Combining the overlapping scientific interests of these participants, with some of them rekindling their professional contacts after many years at this occasion, resulted in an interesting mixture of results in gravitational physics, obtained both in the framework of general relativity and in modified gravity theories, with applications in astrophysics and cosmology, all of them bearing a special geometric flavor. The Special Issue includes an excerpt of these ideas, but stays also open to contributions from colleagues worldwide on the same line of topics and style.

The papers in this Special Issue will target geometric gravity theories, including general relativity in Riemannian geometry and its reformulations in terms of torsion or nonmetricity variables. These theories are frequently extended in various and nonequivalent ways, with the hope to model dark matter and dark energy and also to provide low-energy models for quantum gravity. This Special Issue also invites extensions towards Finslerian geometric approaches and other modifications of gravitational theories with the inclusion of new fields. Such approaches can provide new perspectives on gravitational physics and cosmology, mimic inflation and late time acceleration, lead to a deeper understanding of the evolution and dynamics of cosmic structures, and also provide ways to confirm or falsify them through predictions on compact stars and their structure, as well as the properties of black holes, their environments, and gravitational waves.

Prof. Dr. László Árpád Gergely
Guest Editor

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• spacetime
• general relativity and its geometric reformulations
• modified gravity: formal aspects and applications
• perturbations and gravitational waves
• cosmology, dark matter, and dark energy models