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A new class of modified theories of gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini was proposed recently. The dynamically equivalent scalar-tensor…

广义相对论与量子宇宙学 · 物理学 2013-04-05 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

Probabilistic Spacetime is a simple generalization of the classical model of spacetime in General Relativity, such that it allows to consider multiple metric field realizations endowed with probabilities. The motivation for such a…

广义相对论与量子宇宙学 · 物理学 2017-12-27 Jakub Káninský

Purpose: This essay is a retelling of general relativity in a language in which space-time geometry is expressed as a fluid. This trivial and useful reformulation gives 1) a non-perturbative covariant description of cosmological…

综合物理 · 物理学 2026-01-27 Albert Stebbins

The so-called $\Gamma\Gamma$-form of the gravitational Lagrangian, long known to provide its most compact expression as well as the most efficient generation of the graviton vertices, is taken as the starting point for discussing General…

高能物理 - 理论 · 物理学 2017-10-25 E. T. Tomboulis

First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms…

广义相对论与量子宇宙学 · 物理学 2017-12-29 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

This document contains a description of physics entirely based on a geometric presentation: all of the theory is described giving only a pseudo-riemannian manifold (M, g) of dimension n > 5 for which the g tensor is, in studied domains,…

微分几何 · 数学 2020-09-17 Michel Vaugon

We propose a generic mechanism for the emergence of a gravitational potential that acts on all classical objects in a quantum system. Our conjecture is based on the analysis of mutual information in many-body quantum systems. Since…

量子物理 · 物理学 2017-09-13 Dries Sels , Michiel Wouters

General relativity is highly successful in explaining a wide range of gravitational phenomena including the gravitational waves emitted by binary systems and the shadows cast by supermassive black holes. From a modern perspective the theory…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Jesse Daas , Cristobal Laporte , Frank Saueressig , Tim van Dijk

Space-time measurements and gravitational experiments are made by using objects, matter fields or particles and their mutual relationships. As a consequence, any operationally meaningful assertion about space-time is in fact an assertion…

高能物理 - 理论 · 物理学 2010-02-25 Federico Piazza

We consider Schmidt's game on the space of compact subsets of a given metric space equipped with the Hausdorff metric, and the space of continuous functions equipped with the supremum norm. We are interested in determining the generic…

度量几何 · 数学 2021-03-26 Ábel Farkas , Jonathan M. Fraser , Erez Nesharim , David Simmons

We determine the coefficients of the terms multiplying the gauge fields, gravitational field and cosmological term in a scheme whereby properties are characterized by $N$ anticommuting scalar Grassmann variables. We do this for general $N$,…

高能物理 - 理论 · 物理学 2016-01-12 Robert Delbourgo , Paul D Stack

The newest model for space-time is based on sub-Riemannian geometry. In this paper, we use a combination of Lorentzian and sub-Riemannian geometry, the suggest a new model which likes to its ancestors, but with the most efficient in…

数学物理 · 物理学 2012-03-13 Mehdi Nadjafikhah , Seyed-Mehdi Mousavi

We exploit an arbitrary extrinsic time foliation of spacetime to solve the constraints in spherically symmetric general relativity. Among such foliations there is a one parameter family, linear and homogeneous in the extrinsic curvature,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Jemal Guven , Niall O Murchadha

Classical gravity can be described as a relational dynamical system without ever appealing to spacetime or its geometry. This description is the so-called shape dynamics description of gravity. The existence of relational first principles…

广义相对论与量子宇宙学 · 物理学 2023-07-19 Tim Koslowski

We argue that special and general theories of relativity implicitly assume spacetime events correspond to quantum measurement outcomes. This leads to a change in how one should view the equivalence of spacetime and gravity. We describe a…

物理学史与哲学 · 物理学 2025-12-18 G. J. Milburn

I describe an approach which connects classical gravity with the quantum microstructure of spacetime. The field equations arise from maximizing the density of states of matter plus geometry. The former is identified using the thermodynamics…

广义相对论与量子宇宙学 · 物理学 2017-08-25 T. Padmanabhan

In this paper, particle physics concepts are blended into a field theory for macroscopic phenomena: Fluid mechanics is enhanced by anticommuting Grassmann variables to describe vorticity, while an additional interaction for the Grassmann…

流体动力学 · 物理学 2016-11-23 R. Jackiw

We have investigated some bouncing models in the framework of an extended gravity theory where the usual Ricci scalar in the gravitational action is replaced by a sum of the Ricci scalar and a term proportional to the trace of the energy…

广义相对论与量子宇宙学 · 物理学 2019-05-24 Sunil Kumar Tripathy , Rakesh Kumar Khuntia , Priyabrata Parida

A novel routine to investigate the scalar fields in a cosmological context is discussed in the framework of the Hamiltonian formalism. Starting from the Einstein-Hilbert action coupled to a Lagrangian density that contains two components -…

广义相对论与量子宇宙学 · 物理学 2013-09-16 Alex E. Bernardini , O. Bertolami

We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial…

广义相对论与量子宇宙学 · 物理学 2015-06-25 K. Rajesh Nayak , C. V. Vishveshwara
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