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We extend the usual vacuum Metric-Affine $f(R)$ Gravity by supplementing it with all parity even quadratic invariants in torsion and non-metricity. As we show explicitly this supplementation drastically changes the status of the Theory…

广义相对论与量子宇宙学 · 物理学 2024-09-19 Damianos Iosifidis

Here we consider a metric-affine theory of gravity in which the gravitational Lagrangian is the scalar curvature. The matter action is allowed to depend also on the torsion and the nonmetricity, which are considered as the field variables…

广义相对论与量子宇宙学 · 物理学 2013-07-17 F. F. Faria

We derive the full set of field equations for the Metric-Affine version of the Myrzakulov gravity model and also extend this family of theories to a broader one. More specifically, we consider theories whose gravitational Lagrangian is…

广义相对论与量子宇宙学 · 物理学 2021-06-10 Damianos Iosifidis , Nurgissa Myrzakulov , Ratbay Myrzakulov

We consider the most general Quadratic Metric-Affine Gravity setup in the presence of generic matter sources with non-vanishing hypermomentum. The gravitational action consists of all $17$ quadratic invariants (both parity even and odd) in…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Damianos Iosifidis

We review the vacuum purely affine gravity with the nonsymmetric connection and metric. We also examine dynamical effects of the second Ricci tensor and covariant second-rank tensors constructed from the torsion tensor in the gravitational…

广义相对论与量子宇宙学 · 物理学 2009-04-04 Nikodem J. Poplawski

We study f(R,T) theories of gravity, where T is the trace of the energy-momentum tensor T_{\mu\nu}, with independent metric and affine connection (metric-affine theories). We find that the resulting field equations share a close resemblance…

广义相对论与量子宇宙学 · 物理学 2018-05-28 E. Barrientos , Francisco S. N. Lobo , S. Mendoza , Gonzalo J. Olmo , D. Rubiera-Garcia

We consider the most general 11 parameter parity even quadratic Metric-Affine Theory whose action consists of the usual Einstein-Hilbert plus the 11 quadratic terms in torsion, non-metricity as well as their mixing. By following a certain…

广义相对论与量子宇宙学 · 物理学 2022-07-13 Damianos Iosifidis

The purely affine, metric-affine and purely metric formulation of general relativity are dynamically equivalent and the relation between them is analogous to the Legendre relation between the Lagrangian and Hamiltonian dynamics. We show…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Nikodem J. Poplawski

We investigate the cosmological aspects of the most general parity preserving Metric-Affine Gravity theory quadratic in torsion and non-metricity in the presence of a cosmological hyperfluid. The equations of motion are obtained by varying…

广义相对论与量子宇宙学 · 物理学 2022-01-13 Damianos Iosifidis , Lucrezia Ravera

We examine the analogue gravity model within the context of f(R,T) gravity applied to graphene. The derivation of the Lagrangian density in two dimensions (2D) is undertaken, accounting for the altered gravitational effects as characterized…

介观与纳米尺度物理 · 物理学 2024-03-12 Marcelo Lapola , Luiz Antonio Barreiro

We study the cosmology of the complete quadratic (in torsion and nonmetricity) metric-affine gravity. Namely, we add to the scalar-curvature gravitational Lagrangian, the 17 independent quadratic (parity-even and parity-odd) torsion and…

广义相对论与量子宇宙学 · 物理学 2024-05-01 Damianos Iosifidis , Konstantinos Pallikaris

General Relativity (GR) exists in different formulations, which are equivalent in pure gravity. Once matter is included, however, observable predictions generically depend on the version of GR. In order to quantify the resulting ambiguity,…

广义相对论与量子宇宙学 · 物理学 2024-01-04 Claire Rigouzzo , Sebastian Zell

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

I investigate the general extension of Einstein's gravity by considering the third rank non-metricity tensor and the torsion tensor. The minimal coupling to Dirac fields faces an ambiguity coming from a severe arbitrariness of the…

广义相对论与量子宇宙学 · 物理学 2018-08-07 G. de Berredo-Peixoto

We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the…

广义相对论与量子宇宙学 · 物理学 2022-03-02 A. Baldazzi , O. Melichev , R. Percacci

The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized Ricci tensor and the electromagnetic field tensor by the tensor of homothetic…

广义相对论与量子宇宙学 · 物理学 2009-04-08 Nikodem J. Poplawski

We study a parity violating Metric-Affine gravitational theory given by the Einstein-Hilbert action plus the so-called Holst term in vacuum. We find out that for a certain value of the Barbero-Immirzi parameter the total action possesses a…

广义相对论与量子宇宙学 · 物理学 2021-05-21 Damianos Iosifidis , Lucrezia Ravera

The intriguing choice to treat alternative theories of gravity by means of the Palatini approach, namely elevating the affine connection to the role of independent variable, contains the seed of some interesting (usually under-explored)…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Vincenzo Vitagliano

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

In this review we consider the quadratic Metric-Affine Gauge gravity Lagrangian, which contains all the algebraic invariants up to quadratic order in torsion, nonmetricity and curvature. The goal will be to collect the known exact solutions…

广义相对论与量子宇宙学 · 物理学 2022-11-09 Alejandro Jiménez-Cano
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