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Every spacetime is defined by its metric, the mathematical object which further defines the spacetime curvature. From the relativity principle, we have the freedom to choose which coordinate system to write our metric in. Some coordinate…

广义相对论与量子宇宙学 · 物理学 2021-04-22 Joshua Baines

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein…

高能物理 - 理论 · 物理学 2020-10-20 Gustav Uhre Jakobsen

We propose and solve mathematically a simple euclidean model for quantum gravity in one dimension. In the case of an open curve, the continuum limit is trivial, that is, the size of the universe is infinite, independently of the value of…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Ricardo Paszko

This article is meant as a summary and introduction to the ideas of effective field theory as applied to gravitational systems. Contents: 1. Introduction 2. Effective Field Theories 3. Low-Energy Quantum Gravity 4. Explicit Quantum…

广义相对论与量子宇宙学 · 物理学 2015-06-25 C. P. Burgess

I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such…

高能物理 - 理论 · 物理学 2007-05-23 Robert Oeckl

The tree-level scattering amplitudes of general relativity encode the full non-linearity of the Einstein field equations. Yet remarkably compact expressions for these amplitudes have been found which seem unrelated to a perturbative…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Tim Adamo

A thorough study and analysis on the conceptual foundations of unimodular gravity shows that this theory is essentially general relativity disguised as unimodular relativity in the literature. The main reason for this dilemma is accepting…

综合物理 · 物理学 2023-06-09 S. C. Tiwari

The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which…

高能物理 - 理论 · 物理学 2009-11-11 Valeri P. Frolov , Werner Israel , Andrei Zelnikov

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

Based on an earlier introduced new class of generalized gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the space-time manifold, we…

高能物理 - 理论 · 物理学 2016-11-29 Eduardo Guendelman , Ramon Herrera , Pedro Labrana , Emil Nissimov , Svetlana Pacheva

The general relativity is the base for any exact evolutionary theory of large scale structures. We calculate the universal 2+1-dimensional plane equations of gravitational field in general relativity. Based on the equations, the evolutions…

综合物理 · 物理学 2007-05-23 Yi-Fang Chang

Quantizing the gravitational field described by General relativity being a notorious difficult, unsolved and maybe meaningless problem I use in this essay a different strategy: I consider a linear theory in the framework of Special…

综合物理 · 物理学 2016-03-28 Ll. Bel

New reparametrisation invariant field equations are constructed which describe $d$-brane models in a space of $d+1$ dimensions. These equations, like the recently discovered scalar field equations in $d+1$ dimensions, are universal, in the…

高能物理 - 理论 · 物理学 2009-10-22 D. B. Fairlie , J. Govaerts

Author developed a uniform model for different spaces where distance and angle measure kinds are parameters. This model is calculus centric, but can also be used in theoretical research. It is useful in the following domains: deduction of…

度量几何 · 数学 2018-07-30 Alexandru Popa

The Stringy Uncertainty relations, and corrections thereof, were explicitly derived recently from the New Relativity Principle that treats all dimensions and signatures on the same footing and which is based on the postulate that the Planck…

高能物理 - 理论 · 物理学 2015-06-25 Carlos Castro

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of…

广义相对论与量子宇宙学 · 物理学 2020-05-13 K. Bronnikov , N. O. Santos , Anzhong Wang

I briefly present the foundations of relativistic cosmology, which are, General Relativity Theory and the Cosmological Principle. I discuss some relativistic models, namely, "Einstein static universe" and "Friedmann universes". The…

综合物理 · 物理学 2013-09-10 Domingos Soares

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the…

广义相对论与量子宇宙学 · 物理学 2009-06-30 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

There are many complementary approaches to the construction of solutions to the field equations of general relativity. Among these, numerical approximation offers the only possibility to compute a variety of dynamical spacetimes, and so has…

广义相对论与量子宇宙学 · 物理学 2024-05-13 David Hilditch

A tetrad-based procedure is presented for solving Einstein's field equations for spherically-symmetric systems; this approach was first discussed by Lasenby et al. in the language of geometric algebra. The method is used to derive metrics…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Roshina Nandra , Anthony N. Lasenby , Michael P. Hobson