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We review the underpinnings of the standard Newton-Einstein theory of gravity, and identify where it could possibly go wrong. In particular, we discuss the logical independence from each other of the general covariance principle, the…

天体物理学 · 物理学 2009-11-11 Philip D. Mannheim

Aether Scalar-Tensor theory is a relativistic alternative gravity model that behaves like cold dark matter on cosmological scales while predicting the MOND force-law in astrophysical systems. The theory correctly predicts the cosmic…

广义相对论与量子宇宙学 · 物理学 2025-05-07 Christopher Reyes , Jeremy Sakstein

The observed matter in the universe accounts for just 5 percent of the observed gravity. A possible explanation is that Newton's and Einstein's theories of gravity fail where gravity is either weak or enhanced. The modified theory of…

宇宙学与河外天体物理 · 物理学 2014-11-20 Pedro G. Ferreira , Glenn Starkmann

In this essay we offer a comprehensible overview of the gravitational aether scenario. This is a possible extension of Einstein's theory of relativity to the quantum regime via an effective approach. Quantization of gravity usually faces…

广义相对论与量子宇宙学 · 物理学 2017-05-19 Michael Florian Wondrak

We propose a new point of view for interpreting Newton's and Einstein's theories of gravity. By taking inspiration from Continuum Mechanics and its treatment of anisotropies, we formulate new gravitational actions for modified theories of…

广义相对论与量子宇宙学 · 物理学 2015-10-09 Christian G. Boehmer , Nicola Tamanini

The work done by Isaac Newton more than three hundred years ago, continues being a path to increase our knowledge of Nature. To better understand all the ideas behind it, one of the finest ways is to generalize them to wider situations. In…

微分几何 · 数学 2023-01-10 Miguel-C. Muñoz-Lecanda

A definition of gravitational energy is proposed for any theory described by a diffeomorphism-invariant Lagrangian. The mathematical structure is a Noether- current construction of Wald involving the boundary term in the action, but here it…

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

The energy of gravitating systems has been an issue since Einstein proposed general relativity: considered to be ill defined, having no proper local density. Energy-momentum is now regarded as \emph{quasi-local} (associated with a closed…

广义相对论与量子宇宙学 · 物理学 2018-11-15 Chiang-Mei Chen , Jian-Liang Liu , James M. Nester

The Einstein postulates assert an invariance of the propagation speed of light in vacuum for any observer, and which amounts to a presumed absence of any preferred frame. The postulates appear to be directly linked to relativistic effects…

综合物理 · 物理学 2007-08-07 Reginald T. Cahill

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

广义相对论与量子宇宙学 · 物理学 2008-03-13 Boris Hikin

Newton's second law: "force = time-derivative of momentum", may also be defined for theories of gravitation endowing space-time with a curved metric. Thus, Einstein's assumption of a geodesic motion may be rewritten in that form, and it…

综合物理 · 物理学 2007-05-23 Mayeul Arminjon

Based on the kinetic energy theorem, as one of the fundamental theorems from the classical mechanics, throughout the first part of the article an attempt has been made to derive the mathematical model of a material point motion in the…

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

In the light of recent experimental and theoretical data, we go back to the studies tackled in previous publications [1] and develop some of their consequences. Some of their main aspects will be studied in further detail. Yet this text…

综合物理 · 物理学 2008-03-27 Joseph Levy

Every emission of radiation in gravity also includes a nonwavelike component that leaves a permanent change in proper distances of the spacetime it travels through. This phenomenon is known as gravitational displacement memory. Building up…

广义相对论与量子宇宙学 · 物理学 2025-07-21 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

A closer look (with hindsight) at Newtonian and relativistic kinematics reveals two things. Not surprisingly, Newtonian time remains the empty and artificial - albeit useful - figment it is known to be. Quite unexpectedly however it turns…

综合物理 · 物理学 2007-05-23 Chris Leemann

A simple gravitational model with torsion is studied, and it is suggested that it could explain the dark matter and dark energy in the universe. It can be reinterpreted as a model using the Einstein gravitational equations where spacetime…

广义相对论与量子宇宙学 · 物理学 2022-03-28 Graeme W. Milton

The Einstein-Cartan theory of gravitation and the classical theory of defects in an elastic medium are presented and compared. The former is an extension of general relativity and refers to four-dimensional space-time, while we introduce…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia

We consider an Einstein-aether type Lorentz-violating theory of gravity in which the aether vector field $V_{\mu }$ is represented as the gradient of a scalar field $\phi $, $V_{\mu }=\nabla _{\mu }\phi $. A self interacting potential for…

广义相对论与量子宇宙学 · 物理学 2014-10-08 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

According to Einstein, the trajectory of a particle that is predicted by special relativistic mechanics is well approximated by the trajectory predicted by Newtonian mechanics if the particle speed is low, i.e., much less than the speed of…

经典物理 · 物理学 2015-06-26 Boon Leong Lan

In 1687 Isaac Newton published PHILOSOPHI\AE \ NATURALIS PRINCIPIA MATHEMATICA, where the classical analytic dynamics was formulated. But Newton also formulated a discrete dynamics, which is the central difference algorithm, known as the…

经典物理 · 物理学 2020-03-06 Søren Toxvaerd