Introduction

Santilli, Ruggero Maria

doi:10.1007/1-4020-4518-2_1

Cited by 1 publication

(9 citation statements)

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“…(3.10) of [30] (or with Eq. (1.4.10) in [29]) and we see that the last term, namely S ιρ κ Γ σ ρσ is missing there 17 .…”

Section: Freud's Identitymentioning

confidence: 94%

“…In several papers and books [25,26,29,30,28] Santilli claims that Einstein's gravitation in vacuum (G µ ν = 0) is incompatible with the Freud identity of Riemannian geometry.…”

Section: Freud's Identitymentioning

confidence: 99%

“…In [24,25,26,29,30] (and in references therein) several criticisms to General Relativity (GR), continuation of the ones starting in [23], are made. It is argued there that GR is full of inconsistencies, which moreover are claimed to be solved by "isogravitation theory" [27,29,28].…”

Section: Introductionmentioning

confidence: 99%

“…It is argued there that GR is full of inconsistencies, which moreover are claimed to be solved by "isogravitation theory" [27,29,28]. It is not our intention here to make a detailed review of the main ideas appearing in the papers just quoted.…”

Section: Introductionmentioning

confidence: 99%

“…Some of them we briefly discuss below. 2 A sample on the kind of the misconceptions associated to the interpretation of Freud's identity (and which served as inspiration for preparing the present paper) show up when we read 3 , e.g., in [29] :…”

Section: Introductionmentioning

confidence: 99%

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Freud’s Identity of Differential Geometry, the Einstein-Hilbert Equations and the Vexatious Problem of the Energy-Momentum Conservation in GR

Notte-Cuello

Rodrigues²

2008

AACA

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We reveal in a rigorous mathematical way using the theory of differential forms, here viewed as sections of a Clifford bundle over a Lorentzian manifold, the true meaning of Freud's identity of differential geometry discovered in 1939 (as a generalization of results already obtained by Einstein in 1916) and rediscovered in disguised forms by several people. We show moreover that contrary to some claims in the literature there is not a single (mathematical) inconsistency between Freud's identity (which is a decomposition of the Einstein indexed 3-forms G a in two gauge dependent objects) and the field equations of General Relativity. However, as we show there is an obvious inconsistency in the way that Freud's identity is usually applied in the formulation of energy-momentum "conservation laws" in GR. In order for this paper to be useful for a large class of readers (even those ones making a first contact with the theory of differential forms) all calculations are done with all details (disclosing some of the "tricks of the trade" of the subject). (2000). Primary 83C40; Secondary 15A66. Mathematics Subject Classification

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“…(3.10) of [30] (or with Eq. (1.4.10) in [29]) and we see that the last term, namely S ιρ κ Γ σ ρσ is missing there 17 .…”

Section: Freud's Identitymentioning

confidence: 94%

“…In several papers and books [25,26,29,30,28] Santilli claims that Einstein's gravitation in vacuum (G µ ν = 0) is incompatible with the Freud identity of Riemannian geometry.…”

Section: Freud's Identitymentioning

confidence: 99%