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General Relativity suffers for two main problems which have not yet been overcome: it predicts spacetime singularities and cannot be formulated as a perturbative renormalizable theory. In particular, many attempts have been made for…

广义相对论与量子宇宙学 · 物理学 2025-02-04 Salvatore Capozziello , Maurizio Capriolo , Amodio Carleo , Gaetano Lambiase

The emergence of the Ultra-Diffuse Galaxies in recent years has posed a severe challenge to the galaxy formation models as well as the Extended Theories of Gravity. The existence of both dark matter lacking and dark matter dominated systems…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Filippo Bouchè , Salvatore Capozziello , Ciro De Simone , Vincenzo Salzano

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

In the hydrodynamic regime of field theories the entropy is upgraded to a local entropy current. The entropy current is constructed phenomenologically order by order in the derivative expansion by requiring that its divergence is…

高能物理 - 理论 · 物理学 2015-06-05 Christopher Eling , Adiel Meyer , Yaron Oz

Nonlocal quantum corrections to gravity have been recently proposed as a possible solution to the cosmological fine tuning problems. We study the dynamics of a class of nonlocal actions defined by a function of the inverse d'Alembertian of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tomi Koivisto

In this paper, we deal with the $f(R,Q)$ gravity whose action depends, besides of the scalar curvature $R$, on the higher-derivative invariant $Q=R_{\mu\nu}R^{\mu\nu}$. In order to compare this theory with the usual General Relativity (GR),…

高能物理 - 理论 · 物理学 2017-09-14 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio , A. F. Santos

In this paper, we briefly review highlights of nonlocal de Sitter gravity based on the nonlocal term $ \sqrt{R - 2\Lambda}\ \mathcal{F}(\Box)\ \sqrt{R - 2\Lambda }$ in the Einstein-Hilbert action without matter sector. This nonlocal de…

广义相对论与量子宇宙学 · 物理学 2023-12-29 Ivan Dimitrijevic , Branko Dragovich , Zoran Rakic , Jelena Stankovic

In this paper we will study Lorentz-invariant, infinite derivative quantum field theories, where infinite derivatives give rise to non-local interactions at the energy scale $M_s$, beyond the Standard Model. We will study a specific class,…

高能物理 - 理论 · 物理学 2019-05-29 Luca Buoninfante , Gaetano Lambiase , Anupam Mazumdar

We investigate bouncing solutions in the framework of the non-singular gravity model of Brandenberger, Mukhanov and Sornborger. We show that a spatially flat universe filled with ordinary matter undergoing a phase of contraction reaches a…

高能物理 - 理论 · 物理学 2010-04-06 L. Raul Abramo , Patrick Peter , Ivan Yasuda

Using the gradient expansion approach, we formulate a nonlinear cosmological perturbation theory on super-horizon scales valid to $O(\epsilon^2)$, where $\epsilon$ is the expansion parameter associated with a spatial derivative. For…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yoshiharu Tanaka , Misao Sasaki

A bouncing scenario of a flat homogeneous and isotropic universe is explored by using the reconstruction technique for the power-law parametrization of the Hubble parameter in a modified gravity theory with higher-order curvature and trace…

广义相对论与量子宇宙学 · 物理学 2023-04-03 J. K. Singh , Harshna Balhara , Kazuharu Bamba , J. Jena

In a suitably chosen essentially unique frame tied to a given observer in a general spacetime, the equation of geodesic deviation can be decomposed into a sum of terms describing specific effects: isotropic (background) motions associated…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. Bicak , J. Podolsky

In this paper we study the cosmological evolution of the universe filled with a perfect fluid in the Eddington-inspired Born-Infeld gravity. Applying an alternative method in which the evolution of the scale factor for this theory is linked…

广义相对论与量子宇宙学 · 物理学 2019-09-24 N. M. Jiménez Cruz , Celia Escamilla-Rivera

Discovery of a novel thermodynamic aspect of nonrelativistic gravity is reported. Here, initially, an unspecified scalar field potential is considered and treated not as an externally applied field but as a thermodynamic variable on an…

统计力学 · 物理学 2021-11-10 Peter Ván , Sumiyoshi Abe

Non-local gravity terms have a relevant role in determining the cosmological dynamics. Here we consider curvature- and torsion-based cosmological models where non-local terms can be ``scalarised'' and then reduced under the standard of…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Salvatore Capozziello , Gaetano Lambiase , Giuseppe Meluccio

In this note, we construct a family of non-singular time-dependent solutions of a six-dimensional gravitational theory that are warped products of a four dimensional bouncing cosmological solution and a two dimensional internal manifold.…

高能物理 - 理论 · 物理学 2014-10-24 Koushik Balasubramanian , Sujan P. Dabholkar

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

Non-local gravity cosmologies are considered under the standard of Noether Symmetry Approach. In particular, we focus on non-local theories whose gravitational actions depend on curvature and Gauss-Bonnet scalar invariants. Specific…

广义相对论与量子宇宙学 · 物理学 2020-12-03 Francesco Bajardi , Salvatore Capozziello , Daniele Vernieri

We propose a new theoretical approach for a cosmological model, which starts from an exponential of the trace of the energy-momentum tensor-dependence on the gravitational action, to be summed to the Ricci scalar. We derive the referred…

广义相对论与量子宇宙学 · 物理学 2020-04-08 P. H. R. S. Moraes , P. K. Sahoo , S. K. J. Pacif

We give a rigorous and mathematically clear presentation of the Covariant and Gauge Invariant theory of gravitational waves in a perturbed Friedmann-Lemaitre-Robertson-Walker universe for Fourth Order Gravity, where the matter is described…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Kishore N. Ananda , S. Carloni , P. K. S. Dunsby