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An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian…

综合物理 · 物理学 2016-07-13 Ram Gopal Vishwakarma

The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Peter Zimmerman , Eric Poisson

After a review of the chrono-geometrical structure of special relativity, where the definition of the instantaneous 3-space is based on the observer-dependent convention for the synchronization of distant clocks, it is shown that in a class…

广义相对论与量子宇宙学 · 物理学 2007-08-06 Luca Lusanna

The concept of a physical space, which actualizes Euclidean geometry, is not confined to the statics of solids but extensible to the phenomena where Newtonian mechanics is valid, defining its concept of time. The laws of propagation of…

综合物理 · 物理学 2018-01-04 Serge A. Wagner

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

广义相对论与量子宇宙学 · 物理学 2013-01-15 Slava G. Turyshev

We discuss the definitions of standard clocks in theories of gravitation. These definitions are motivated by the invariance of actions under different gauge symmetries. We contrast the definition of a standard Weyl clock with that of a…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Pierre Teyssandier , Robin W Tucker

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

In this paper we discuss Internal Relativity, a recent program to address the problem of quantum gravity. In our approach we change the relationship between spacetime and matter. Currently we view matter as propagating on spacetime.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Olaf Dreyer

Quantum theory and relativity offer different conceptions of time. To explore the conflict between them, we study a quantum version of the light-clock commonly used to illustrate relativistic time dilation. This semiclassical model combines…

量子物理 · 物理学 2019-09-04 Maximilian P. E. Lock , Ivette Fuentes

Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit…

广义相对论与量子宇宙学 · 物理学 2018-04-03 Lorenzo Resca

The definition of a reference frame in General Relativity is achieved through the construction of a congruence of time-like world-lines. In this framework, splitting techniques enable us to express physical phenomena in analogy with Special…

综合物理 · 物理学 2026-05-13 Matteo Luca Ruggiero

The precision of optical atomic clocks is approaching a regime where they resolve gravitational time dilation on smaller scales than their own extensions. Hence, an accurate description of quantum clocks has to take their spatial extension…

广义相对论与量子宇宙学 · 物理学 2022-05-13 Tupac Bravo , Dennis Rätzel , Ivette Fuentes

Riemann's principle "force equals geometry" provided the basis for Einstein's General Relativity - the geometric theory of gravitation. In this paper, we follow this principle to derive the dynamics for any static, conservative force. The…

综合物理 · 物理学 2019-12-19 Y. Friedman , T. Scarr , J. Steiner

Theorists are often told to express things in the "observational plane". One can do this for space-time geometry, considering "visual" observations of matter in our universe by a single observer over time, with no assumptions about…

广义相对论与量子宇宙学 · 物理学 2012-11-20 Albert Stebbins

Einstein's theory of general relativity predicts that a clock at a higher gravitational potential will tick faster than an otherwise identical clock at a lower potential, an effect known as the gravitational redshift. Here we perform a…

原子物理 · 物理学 2023-07-28 Xin Zheng , Jonathan Dolde , Matthew C. Cambria , Hong Ming Lim , Shimon Kolkowitz

Cosmic observations strongly support a time varying scenario for matter/space. On the other hand, so far, observations at solar system scale failed to identify any time variation on matter/space characteristics. To explain both results it…

天体物理学 · 物理学 2007-05-23 Alfredo Gouveia Oliveira , Rodrigo de Abreu

Emergent gravity views spacetime as an entity emergent from a more complete theory of interacting fundamental constituents valid at much finer resolution or higher energies, usually assumed to be above the Planck energy. In this view…

广义相对论与量子宇宙学 · 物理学 2010-03-12 B. L. Hu

A new approach in the Newtonian space and time, based upon the assumption that inertial mass is the quantitative measure of the matter. It has been shown that in case of a special physical system, a supposed matter transfer may reproduce…

综合物理 · 物理学 2013-08-13 P. Doleschall

The gauge theoretical formulation of general relativity is presented. We are only concerned with local intrinsic geometry, i.e. our space-time is an open subset of a four-dimensional real vector space. Then the gauge group is the set of…

广义相对论与量子宇宙学 · 物理学 2018-12-07 Thomas Schucker

We present a theory of gravity based on Einstein's general relativity that is motivated by the paradoxes associated with time in relativistic rotating frames and certain exact solutions of Einstein's equations. We show that we can resolve…

广义相对论与量子宇宙学 · 物理学 2011-06-14 Robert D. Bock