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The careful analysis of the duality properties of Riemann's curvature tensor points to possibility of extension of Einstein's General Relativity to the nonabelian Yang-Mills theory. The motion equations of the theory are Yang-Mills'…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. L. Koshkarov

An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal. At its heart is the central lesson of…

广义相对论与量子宇宙学 · 物理学 2021-04-12 Abhay Ashtekar , Eugenio Bianchi

Using a BRST treatment, we show that the equivalence of General Relativity and Shape Dynamics can be extended to a theory that respects the BRST-symmetries of General Relativity as well as the ones of an extended version of Shape Dynamics.…

广义相对论与量子宇宙学 · 物理学 2012-06-22 Henrique Gomes , Tim Koslowski

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in…

高能物理 - 理论 · 物理学 2022-09-07 Carlos M. Reyes , Marco Schreck

The standard theory of General Relativity (GR) currently provides the most reliable description of all gravitational events in Astrophysics and Cosmology. However, current Astronomy allows measurements that contradict the predictions of GR…

广义相对论与量子宇宙学 · 物理学 2024-02-19 José Luis Hernández-Pastora

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Michael Mattes

In a previous work [arXiv:2009.03428] we proposed a new model for Quantum GRavity(QGR) and cosmology, dubbed $SU(\infty)$-QGR. One of the axioms of this model is that Hilbert spaces of the Universe and its subsystems represent $SU(\infty)$…

广义相对论与量子宇宙学 · 物理学 2022-01-04 Houri Ziaeepour

Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of action functionals depending on the metric and the torsion tensor, the latter…

高能物理 - 理论 · 物理学 2016-03-23 Martin Reuter , Gregor M. Schollmeyer

Spacetimes with horizons show a resemblance to thermodynamic systems and it is possible to associate the notions of temperature and entropy with them. Several aspects of this connection are reviewed in a manner appropriate for broad…

广义相对论与量子宇宙学 · 物理学 2008-11-26 T. Padmanabhan

We explore the relation of the Holst term with the Nieh-Yan term in terms of metric variables. We show that the Holst term indeed affects the classical equations of motion in the presence of matter with spin. Therefore the correct term to…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Kinjal Banerjee

The present work has a double aim. On the one hand we call attention on the relationship existing between the Ashtekar formalism and other gauge-theoretical approaches to gravity, in particular the Poincar\'e Gauge Theory. On the other hand…

广义相对论与量子宇宙学 · 物理学 2009-11-11 A. Tiemblo , R. Tresguerres

Certain peculiar features of Einstein-Hilbert (EH) action provide clues towards a holographic approach to gravity which is independent of the detailed microstructure of spacetime. These features of the EH action include: (a) the existence…

广义相对论与量子宇宙学 · 物理学 2015-06-25 T. Padmanabhan

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

偏微分方程分析 · 数学 2014-12-30 Philippe G. LeFloch , Yue Ma

A possible way out of the conundrum of quantum gravity is the proposal that general relativity (GR) is not a fundamental theory but emerges from an underlying microscopic description. Despite recent interest in the emergent gravity program…

物理学史与哲学 · 物理学 2018-04-24 Niels S. Linnemann , Manus R. Visser

Despite the fact that General Relativity (GR) has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories, we have theories with…

广义相对论与量子宇宙学 · 物理学 2019-05-14 J. B. Formiga

In the context of an extended General Relativity theory with boundary terms included, we introduce a new nonlinear quantum algebra involving a quantum differential operator, with the aim to calculate quantum geometric alterations when a…

广义相对论与量子宇宙学 · 物理学 2024-07-08 Mauricio Bellini , Juan Ignacio Musmarra , Daniela Magos

Einstein-Hilbert (EH) action can be separated into a bulk and a surface term, with a specific ("holographic") relationship between the two, so that either can be used to extract information about the other. The surface term can also be…

高能物理 - 理论 · 物理学 2008-11-26 A. Mukhopadhyay , T. Padmanabhan

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 explore the generalized covariant entropy bound in the theory where Einstein gravity is perturbed by quadratic curvature terms, which can be viewed as the first-order quantum correction to Einstein gravity. By replacing the…

广义相对论与量子宇宙学 · 物理学 2023-11-10 Hu Zhu , Jie Jiang

Recent gravitational wave observations of binary black hole mergers and a binary neutron star merger by LIGO and Virgo Collaborations associated with its optical counterpart constrain deviation from General Relativity (GR) both on…

广义相对论与量子宇宙学 · 物理学 2018-06-11 Hayato Motohashi , Masato Minamitsuji