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Causal Dynamical Triangulations is a non-perturbative quantum gravity model, defined with a lattice cut-off. The model can be viewed as defined with a proper time but with no reference to any three-dimensional spatial background geometry.…

高能物理 - 理论 · 物理学 2019-06-26 Jan Ambjørn , Zbigniew Drogosz , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz

The scalar invariant, I, constructed from the "square" of the first covariant derivative of the curvature tensor is used to probe the local geometry of static spacetimes which are also Einstein spaces. We obtain an explicit form of this…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Manash Mukherjee , F. P. Esposito , L. C. R. Wijewardhana

The Bardeen solution corresponding to Einstein field equations with a cosmological constant is a regular black hole. The main goal of this manuscript is to investigate the geometric structures in terms of curvature conditions admitted by…

微分几何 · 数学 2022-07-15 Absos Ali Shaikh , Shyamal Kumar Hui , Mousumi Sarkar

Using a perturbative technique, in this work we study the deflection of null and timelike signals in the extended Einstein-Maxwell spacetime, the Born-Infeld gravity and the charged Ellis-Bronnikov (CEB) spacetime in the weak field limit.…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Jinhong He , Qianchuan Wang , Qiyue Hu , Li Feng , Junji Jia

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

高能物理 - 理论 · 物理学 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

A generalized form of 't Hooft-Nobbenhuis Complex space-time Transformation is applied on momentum space from which a new model of Deformed Special Relavity at Planck Scale is proposed. The model suggests an energy-dependent Planck's…

综合物理 · 物理学 2021-10-04 Jeffrey Alloy Q. Abanto

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction to a particular…

数学物理 · 物理学 2010-09-24 Gherardo Piacitelli

In the present mainstream cosmology, matter and spacetime emerged from a singularity and evolved through four distinct periods: early inflation, radiation, dark matter and late-time inflation (driven by dark energy). During the radiation…

宇宙学与河外天体物理 · 物理学 2013-10-02 E. L. D. Perico , J. A. S. Lima , Spyros Basilakos , Joan Sola

We develop a detector-based framework in which quantum theory and spacetime geometry arise within a common inferential structure. Detector states and a detector kernel assign amplitudes to measurement events, allowing quantum theory to be…

量子物理 · 物理学 2026-04-14 Marcello Rotondo

We recast the well known Israel-Darmois matching conditions for Locally Rotationally Symmetric (LRS-II) spacetimes using the semitetrad 1+1+2 covariant formalism. This demonstrates how the geometrical quantities including the volume…

广义相对论与量子宇宙学 · 物理学 2020-11-03 Pretty N. Khambule , Rituparno Goswami , Sunil D. Maharaj

The dynamics of perfect fluid spacetime geometries which exhibit {\em Local Rotational Symmetry} (LRS) are reformulated in the language of a $1+\,3$ "threading" decomposition of the spacetime manifold, where covariant fluid and curvature…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Henk van Elst , George F R Ellis

The spherically symmetric static spacetimes are classified according to their matter collineations. These are studied when the energy-momentum tensor is degenerate and also when it is non-degenerate. We have found a case where the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 M. Sharif , Sehar Aziz

In the model of de Sitter gauge theory of gravity, the empty homogenous and isotropic spacetimes with constant curvature scalar and nonvanishing homogenous and isotropic torsion must have de Sitter metrics. The static de Sitter spacetime…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Chao-Guang Huang , Meng-Sen Ma

Second rank non-degenerate Killing tensors for some subclasses of spacetimes admitting parallel null one-planes are investigated. Lichn\'erowicz radiation conditions are imposed to provide a physical meaning to spacetimes whose metrics are…

广义相对论与量子宇宙学 · 物理学 2009-10-31 D. Baleanu , S. Baskal

We search for time-dependent solutions for the 5-dimensional system of a scalar field canonically coupled to gravity. Time-independent and time-dependent scalar field configurations with the most general homogeneous and isotropic 4D metric…

高能物理 - 理论 · 物理学 2015-06-18 Aqeel Ahmed , Bohdan Grzadkowski , Jose Wudka

I investigate a class of dynamical systems in which finite pieces of spacetime contain finite amounts of information. Most of the guiding principles for designing these systems are drawn from general relativity: the systems are…

高能物理 - 理论 · 物理学 2007-05-23 David Hillman

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Indranil Chakraborty , Sayan Kar

We investigate a new class of LRS Bianchi type-II cosmological models by revisiting in the paper of Mishra {\it et al} (2013) by considering a new deceleration parameter (DP) depending on the time in string cosmology for the modified…

综合物理 · 物理学 2021-08-02 Archana Dixit , Rashid Zia , Anirudh Pradhan

Assuming homogeneous isotropic Lambda-CDM cosmology allows Lambda, spatial curvature and dark matter density to be inferred from large scale structure observations such as supernovae. The purpose of this paper is to extend this to allow…

广义相对论与量子宇宙学 · 物理学 2011-02-02 Toby Wiseman , Benjamin Withers

In this paper, we perform a parallel analysis to the model proposed in [25]. By considering the central co-tetrad (instead of the central metric), we investigate the modifications in the gravitational metrics coming from the noncommutative…

高能物理 - 理论 · 物理学 2016-06-16 Andrzej Borowiec , Tajron Juric , Stjepan Meljanac , Anna Pachol