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Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry matter field equations that are predictive, interpretable and quantizable. These three conditions on matter translate…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Kristina Giesel , Frederic P. Schuller , Christof Witte , Mattias N. R. Wohlfarth

Observers at rest in a stationary spacetime flat at infinity can measure small amounts of rest-mass+internal energies+kinetic energies+pressure energy in a small volume of fluid attached to a local inertial frame. The sum of these small…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Joseph Katz

The approach of metric-affine field theory is to define spacetime as a real oriented 4-manifold equipped with a metric and an affine connection. The 10 independent components of the metric tensor and the 64 connection coefficients are the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Alastair D. King , Dmitri Vassiliev

When we discuss problems on gravity, we can not avoid some fundamental physical problems, such as space-time, inertia, and inertial reference frame. The goal of this paper is to discuss the logic system of gravity theory and the problems of…

综合物理 · 物理学 2012-07-24 Ning Wu

In the framework of the two-form gravity, which is classically equivalent to the Einstein gravity, the one-loop effective potential for the conformal factor of metric is calculated in the finite volume and in the finite temperature by…

高能物理 - 理论 · 物理学 2015-06-26 Miyuki KATSUKI , Shin'ichi NOJIRI , Akio SUGAMOTO

The affine connection in a space-time with a maximally symmetric spatial subspace is derived using the properties of maximally symmetric tensors. The number of degrees of freedom in metric-affine gravity is thereby considerably reduced…

广义相对论与量子宇宙学 · 物理学 2009-03-20 Tuomas Multamäki , Jaakko Vainio , Iiro Vilja

In this paper we try to clarify that a regular metric can generate a singular spacetime. Our work focuses on a static and spherically symmetric spacetime in which regularity exists when all components of the Riemann tensor are finite. There…

广义相对论与量子宇宙学 · 物理学 2023-11-07 Manuel E. Rodrigues , Henrique A. Vieira

The state of a particle in space and time is characterized by its mass and spin, which therefore determine the inertial properties of the particle. The coupling of intrinsic spin with rotation is examined and the corresponding inertial…

量子物理 · 物理学 2009-11-11 Bahram Mashhoon , Helmut Kaiser

In present article the original proposition is a generalization of the Einstein's world tensor $g_{ij}$ by the introduction of pure inertial field tensor $g^{ac}_{ij}$ such that…

综合物理 · 物理学 2020-05-19 J. Foukzon , S. A. Podosenov , A. A. Potapov , E. Menkova

A propagating torsion model is derived from the requirement of compatibility between minimal action principle and minimal coupling procedure in Riemann-Cartan spacetimes. In the proposed model, the trace of the torsion tensor is derived…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Alberto Saa

In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Masafumi Seriu

Starting with a field theoretic approach in Minkowski space, the gravitational energy momentum tensor is derived from the Einstein equations in a straightforward manner. This allows to present them as {\it acceleration tensor} = const.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Theo M. Nieuwenhuizen

In general relativity, the tangential speed of objects in stable circular orbits is not uniquely described by the orbital radius and the mass present inside the orbital radius. This work presents a static, spherically symmetric spacetime…

广义相对论与量子宇宙学 · 物理学 2025-04-24 C. Mallary

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. Buonanno , T. Damour

Torsion appears in literature in quite different forms. Generally, spin is considered to be the source of torsion, but there are several other possibilities in which torsion emerges in different contexts. In some cases a phenomenological…

广义相对论与量子宇宙学 · 物理学 2017-09-27 S. Capozziello , G. Lambiase , C. Stornaiolo

Schwarzschild's 'interior solution' is a space-time metric that satisfies Einstein's gravitational field equations with a source term that Einstein created on the basis of an unjustified identification of the conceptually distinct notions…

广义相对论与量子宇宙学 · 物理学 2012-10-18 Homer G. Ellis

The motion of a quantum particle constrained to a two-dimensional non-compact Riemannian manifold with non-trivial metric can be described by a flat-space Schroedinger-type equation at the cost of introducing local mass and metric and…

介观与纳米尺度物理 · 物理学 2025-12-19 Benjamin Schwager , Theresa Appel , Jamal Berakdar

A natural two-metric formalism, generated by the world function of the space-time, is used. This circumstance admits one to localize the relative gravitational field, which is described by a tensor.

综合物理 · 物理学 2011-08-01 Yuri A. Rylov

An attempt is made to explain the spiral structure of spiral galaxies through a possible rotation of the Universe. To this end, we write down a possible form of the metric, and we calculate the necessary quantities (Rik, Tik, ...) in order…

天体物理学 · 物理学 2009-04-27 Evangelos Chaliasos

The proposal of this work is to provide an answer to the following question: is it possible to treat the metric of space-time - that in General Relativity (GR) describes the gravitational interaction - as an effective geometry? In other…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Novello