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In this paper, we proposed that at each point of spacetime, in addition to the Riemannian metric tensor which describes the geometry of spacetime and the gravitational field, there is an rainbow metric tensor which shows the geometry of…

广义相对论与量子宇宙学 · 物理学 2019-05-15 Ping-Li , Jia-Cheng Ding , Qi-Qi Fan , Xian-Ru Hu , Jian-Bo Deng

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

高能物理 - 理论 · 物理学 2009-11-10 C. Wetterich

This paper explores modifications to General Relativity (GR) by considering higher-order curvature terms in the gravitational action, specifically focusing on the quadratic Ricci scalar and a particular cubic contraction of the Riemann…

广义相对论与量子宇宙学 · 物理学 2025-12-05 Raghotham A Kulkarni , Rahul , Soham Bhattacharyya , Dawood Kothawala

The status of a modification of General Relativity (GR) -- Spontaneously Broken Relativity (SBR) -- for merging gravity, dark energy (DE) and dark matter (DM) is presented. The modification is principally grounded on a multiscalar-metric…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Yu. F. Pirogov , O. V. Zenin

The construction of an averaged theory of gravity based on Einstein's General Relativity is very difficult due to the non-linear nature of the gravitational field equations. This problem is further exacerbated by the difficulty in defining…

广义相对论与量子宇宙学 · 物理学 2010-04-16 R. J. van den Hoogen

It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. Numerical solutions for the anisotropic generalization of the Friedmann "flat" model $E^3$ for this…

广义相对论与量子宇宙学 · 物理学 2012-04-02 Daniel Müller , Juliano A. de Deus

Here show that, pure affine actions based solely on the Riemann curvature tensor lead to Einstein field equations for gravitation. The matter and radiation involved are general enough to impose no restrictions on material dynamics or vacuum…

高能物理 - 理论 · 物理学 2017-09-27 Durmus Demir , Oktay Dogangun , Tonguc Rador , Selin Soysal

We develop a novel approach to gravity that we call `matrix general relativity' (MGR) or `gravitational chromodynamics' (GCD or GQCD for quantum version). Gravity is described in this approach not by one Riemannian metric (i.e. a symmetric…

高能物理 - 理论 · 物理学 2011-03-31 Ivan G. Avramidi

We develop the General Theory of Relativity in a formalism with extended causality that describes physical interaction through discrete, transversal and localized pointlike fields. The homogeneous field equations are then solved for a…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Manoelito M. de Souza , Robson N. Silveira

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we…

高能物理 - 理论 · 物理学 2014-12-10 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

n-DBI gravity is a gravitational theory introduced in arXiv:1109.1468 [hep-th], motivated by Dirac-Born-Infeld type conformal scalar theory and designed to yield non-eternal inflation spontaneously. It contains a foliation structure…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Carlos Herdeiro , Shinji Hirano , Yuki Sato

Modified General Relativity (MGR) is the natural extension of General Relativity (GR). MGR explicitly uses the smooth regular line element vector field $(\bm{X},-\bm{X}) $, which exists in all Lorentzian spacetimes, to construct a…

广义相对论与量子宇宙学 · 物理学 2026-01-27 Gary Nash

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yuri N. Obukhov

We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying the gauge field of the Weyl (conformal) symmetry as a dynamical component of the affine connection. In particular, we…

高能物理 - 理论 · 物理学 2022-10-26 Gonzalo J. Olmo , Emanuele Orazi , Gianfranco Pradisi

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Keigo Shimada , Katsuki Aoki , Kei-ichi Maeda

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a…

广义相对论与量子宇宙学 · 物理学 2012-01-05 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Johas Morales , Yuri Bonder

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

广义相对论与量子宇宙学 · 物理学 2008-03-02 Nikodem J. Poplawski

The Eddington Lagrangian in the purely affine formulation of general relativity generates the Einstein equations with the cosmological constant. The Ferraris-Kijowski purely affine Lagrangian for the electromagnetic field, which has the…

广义相对论与量子宇宙学 · 物理学 2010-11-02 Nikodem J. Poplawski

This thesis covers several developments performed in metric-affine gravity. This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and…

广义相对论与量子宇宙学 · 物理学 2022-02-01 Alejandro Jiménez-Cano