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General Relativity

Numerical Relativity beyond General Relativity

Numerical Relativity beyond General Relativity

... the general theory of relativity that compare an observed signal with quasinormal mode descriptions of the ringdown, such as tests of the no-hair ...numerical relativity simulations, we characterize ...

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Lifting general relativity to observer space

Lifting general relativity to observer space

... special relativity to general relativity, for example, Minkowski spacetime R 3,1 survives only as the tangent space to a more general Lorentzian mani- fold M ...sense, general ...

36

Non-linear Lagrangians in general relativity

Non-linear Lagrangians in general relativity

... AUSTRALIAN NATIONAL UNIVERSITY NON LINEAR LAGRANGIANS IN GENERAL RELATIVITY A thesis submitted to the Department of Theoretical Physics, School of General Studies, in fulfilment of the requirements fo[.] ...

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Against Geometry: Nonstandard General Relativity

Against Geometry: Nonstandard General Relativity

... Our finding is that in the solar system the right gauge is c r ( ) = 0 , but on the galactic scale we have c r ( ) ≠ 0 . One would like to have a deeper understanding of this apparent paradox. One possible explanation is ...

10

The Mathematical Foundations of General Relativity Revisited

The Mathematical Foundations of General Relativity Revisited

... The purpose of this paper is to present an elementary summary of a few recent results obtained through the application of the formal theory of systems of ordinary differential (OD) or partial differential (PD) equations ...

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Differential Homological Algebra and General Relativity

Differential Homological Algebra and General Relativity

... In 1916, F.S. Macaulay used a new localization technique for studying unmixed polynomial ideals. In 2012, we have generalized this procedure in order to study pure differential modules, obtaining therefore a relative ...

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Generating Compatibility Conditions and General Relativity

Generating Compatibility Conditions and General Relativity

... in general relativity and believe this problem has never been pointed out clearly for the very simple reason that the underlying mathematics are not known by ...

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Recent astronomical tests of general relativity

Recent astronomical tests of general relativity

... of general relativity (anomalous perihelion advance of the perihelion of Mercury, gravitational light bending and gravitational redshift), a plethora of other avenues has developed ...

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A No-Nonsense Introduction to General Relativity

A No-Nonsense Introduction to General Relativity

... in General Relativity by Bernard Schutz, at an undergrad level; and graduate texts General Relativity by Wald, Gravitation and Cosmology by Weinberg, Gravitation by Misner, Thorne, and ...

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How To Understand General Relativity

How To Understand General Relativity

... behavior of material particles, fields or other substances near or inside a black hole. What is more, astronomers have now identified numerous objects in the heavens that completely match the detailed descriptions ...

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Quantum Superposition, Mass, and General Relativity

Quantum Superposition, Mass, and General Relativity

... that general relativity is wrong, but rather that, if the ideas presented here are correct, equation (8) represents an instance in which a theory is unwittingly extrapolated beyond its domain of ...because ...

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Fibre Bundles in General Relativity

Fibre Bundles in General Relativity

... of general relativity which models spacetime as a 4-dimensional smooth manifold, and underlines the departure from the Newtonian description of gravity as a force in Euclidean space, to Einstein’s ...

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Spin 1/2 in classical general relativity

Spin 1/2 in classical general relativity

... In general relativity, the non-gravitational energy, momentum and angular momentum can be derived from the energy momentum tensor which is defined at every point of ...

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Functions of State for Spinor Gas in General Relativity

Functions of State for Spinor Gas in General Relativity

... with general relativity should be naturally derived under background of ...of relativity and remove the singularity from solutions to the Einstein’s field equation ...

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Gravitation in Flat Space Time and General Relativity

Gravitation in Flat Space Time and General Relativity

... ρ = ρ ρ = ρ (3.6) Here, the prime denotes the t − derivative, H 0 is the Hubble constant and h ' 0 doesn’t appear by the use of general relativity because h t ( ) = 1. The condition h t ( ) = 1. is not ...

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ON THE VACUUM STRESS ENERGY TENSOR IN GENERAL RELATIVITY

ON THE VACUUM STRESS ENERGY TENSOR IN GENERAL RELATIVITY

... In General Relativity (GR), gravity is described in terms of cur- vature of the spacetime continuum, unlike other forces. While GR provides a very successful and elegant description of gravity, its ge- ...

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Experimental Test of General Relativity and the Physical Metric

Experimental Test of General Relativity and the Physical Metric

... bigger than the Schwarzschild radius and the gravity inside the horizon shows a repulsive force. Some of these properties will be tested by the observations of the MIT Haystack Observatory. The author has demonstrated ...

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Clarifying possible misconceptions in the foundations of general relativity

Clarifying possible misconceptions in the foundations of general relativity

... and general relativity, that accelerating clocks are affected only by the time dilation associated with their instan- taneous speed is widely referred to as the clock ...

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General relativity support from the double pulsar

General relativity support from the double pulsar

... One of the pursuits in pulsar investigation is the detection of gravitational waves which are predicted by General Relativity. The amount of release of energy is consistent with the theory but the ...

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The revival of General Relativity at Princeton: Daring Conservatism

The revival of General Relativity at Princeton: Daring Conservatism

... A way to account for electric charge appeared less than 8 months after the Richtmyer lecture in the famous geon paper [11]. Here Wheeler shows detailed calculations for spherical geons, and introduces graphically a ...

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