Breaking in the 4-Vectors: The Four-Dimensional Movement in Gravitation, 1905–1910

Walter, Scott

doi:10.1007/978-1-4020-4000-9_18

Cited by 62 publications

(69 citation statements)

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“…Indeed, there once was a candidate for the correct relativistic theory of gravitation which did not have the full energy tensor on the right-hand side of the field equation, but only its trace T µ µ : Nordström's theory of gravitation, developed between 1912 and 1914. (For a historical review of Nordström's theory and the exchange between Einstein and Nordström see Norton [1992], for a systematic discussion of the possibility of relativistic scalar gravitation theories see Giulini [2008].) In section 4, I shall argue that T µν is not a source in quite the same way as ρ m and ρ e after all.…”

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confidence: 99%

Mass–Energy–Momentum: Only there Because of Spacetime?

Lehmkuhl¹

2011

The British Journal for the Philosophy of Science

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I describe how relativistic field theory generalises the paradigm property of material systems, the possession of mass, to the requirement that they have a mass-energy-momentum density tensor T µν associated with them. I argue that T µν does not represent an intrinsic property of matter. For it will become evident that the definition of T µν depends on the metric field g µν in a variety of ways. Accordingly, since g µν represents the geometry of spacetime itself, the properties of mass, stress, energy and momentum should not be seen as intrinsic properties of matter, but as relational properties that material systems have only in virtue of their relation to spacetime structure.

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confidence: 99%

Mass–Energy–Momentum: Only there Because of Spacetime?

Lehmkuhl¹

2011

The British Journal for the Philosophy of Science

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“…Let us begin by a brief summary of the key features of Nordström's theories, referring the reader to [14,15,[18][19][20] for a detailed account.…”

Section: Nordström's Theories Of Gravitymentioning

confidence: 99%

“…In particular scalar-tensor theories may be constructed along the lines of the seminal paper [46] by modifying the term describing the coupling of matter to the physical metric exactly as in Eq. (14). The Horndeski class [24,25] and the "beyond Horndeski" class [26] are scalar tensor theories of this kind.…”

Section: Geometric Scalar Theories Of Gravitymentioning

confidence: 99%

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Bittencourt

Moschella

Novello³

et al. 2016

Phys. Rev. D

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We discuss a class of models for gravity based on a scalar field. The models include and generalize the old approach by Nordström which predated and in some way inspired General Relativity. The class include also a model that we have recently introduced and discussed in its cosmological aspects (GSG). We present here a complete characterisation of the Schwarschild geometry as a vacuum solution of GSG and sketch a discussion of the first Post-Newtonian approximation.

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“…[9]- [11]). Все метрики из теоремы 1 размерности 4 и метрики из части 2) теоремы 2 для больших размерностей дают примеры решения этих уравнений.…”

Section: § 1 введение и основные результатыunclassified

Конформно Плоские Лоренцевы Многообразия Со Специальными Группами Голономии

Galaev¹

2013

Математический сборник

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Конформно плоские лоренцевы многообразия со специальными группами голономииПолучена локальная классификация конформно плоских лоренцевых многообразий со специальными группами голономии. Соответствующие локальные метрики представляют собой некоторые расширения римано-вых метрик постоянной секционной кривизны до метрик Волкера.Библиография: 28 названий.Ключевые слова: лоренцево многообразие, специальная группа голо-номии, многообразие Волкера, конформно плоское многообразие, теория гравитации Нордстрёма.

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Breaking in the 4-Vectors: The Four-Dimensional Movement in Gravitation, 1905–1910

Cited by 62 publications

References 50 publications

Mass–Energy–Momentum: Only there Because of Spacetime?

Mass–Energy–Momentum: Only there Because of Spacetime?

More about scalar gravity

Конформно Плоские Лоренцевы Многообразия Со Специальными Группами Голономии

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