We consider the hypothesis that Dark Matter (or at least part of it) could be explained as an effect of conventions used on the choice of the spacetime foliation into hyperplanes (the 3-space ) and time and therefore on the convention used for clock synchronization. In recent works by L. Lusanna and D. Alba on ADM tetrad gravity and its post-Minkowskian and post-Newtonian expansion, it was found that the non local York time 3 K_(1) gives a 0.5 PN correction (i.e. at order O(1/c) to the particle equation of motion which can be interpreted as a correction to the particle mass depending on the foliation used (and therefore on the convention used on the clock synchronization). In the introduction we review the modern hypothesis on Dark Matter, ADM tetrad gravity and IAU conventions. In the following chapters we work out the effects of 3K(1) on Pulsar Timing Array (PTA), Very Long Baseline Interferometry (VLBI) and on redshift measurements. Exploiting some similarities between the PN form of ADM tetrad gravity metric and of f(R) theories, we make the ansatz that the spatial part of 3K(1) has a Yukawa form. Many different guesses can be made for the time-dependent part, we discuss three in particular: the time-free ansatz (in which there is no time dependece), the linear ansatz (in which the time dependence is assumed linear) and finally we consider the case in which the time dependece is left completely free. In order to have an idea of the order of magnitude of the parameters

THE DARK SECTOR AS A METROLOGY EFFECT effects of the trace of the extrinsic curvature of 3-space on the dark side of the universe / Villani, Mattia. - (2015).

THE DARK SECTOR AS A METROLOGY EFFECT effects of the trace of the extrinsic curvature of 3-space on the dark side of the universe

VILLANI, MATTIA
2015

Abstract

We consider the hypothesis that Dark Matter (or at least part of it) could be explained as an effect of conventions used on the choice of the spacetime foliation into hyperplanes (the 3-space ) and time and therefore on the convention used for clock synchronization. In recent works by L. Lusanna and D. Alba on ADM tetrad gravity and its post-Minkowskian and post-Newtonian expansion, it was found that the non local York time 3 K_(1) gives a 0.5 PN correction (i.e. at order O(1/c) to the particle equation of motion which can be interpreted as a correction to the particle mass depending on the foliation used (and therefore on the convention used on the clock synchronization). In the introduction we review the modern hypothesis on Dark Matter, ADM tetrad gravity and IAU conventions. In the following chapters we work out the effects of 3K(1) on Pulsar Timing Array (PTA), Very Long Baseline Interferometry (VLBI) and on redshift measurements. Exploiting some similarities between the PN form of ADM tetrad gravity metric and of f(R) theories, we make the ansatz that the spatial part of 3K(1) has a Yukawa form. Many different guesses can be made for the time-dependent part, we discuss three in particular: the time-free ansatz (in which there is no time dependece), the linear ansatz (in which the time dependence is assumed linear) and finally we consider the case in which the time dependece is left completely free. In order to have an idea of the order of magnitude of the parameters
2015
Ruggero Stanga, Luca Lusanna
ITALIA
Villani, Mattia
File in questo prodotto:
File Dimensione Formato  
TESI.pdf

accesso aperto

Descrizione: Tesi di dottorato
Tipologia: Pdf editoriale (Version of record)
Licenza: Creative commons
Dimensione 1.83 MB
Formato Adobe PDF
1.83 MB Adobe PDF

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1088155
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact