Talk detail

Participant	Bernal Marin, Tula
Institution	Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional - Av. IPN 2508 - Mexico - Distrito Federal - Mexico

Session	AT2	Accepted		Order	Time
Talk	Oral abstract	Title	Clusters of Galaxies with Extended f(χ) Gravity
Coauthors
Abstract	In this work we show the results of the perturbation analysis of the gravitational metric theory of gravity f(χ) = χ^{3/2}, proposed by Bernal et al. (2011), for a static, spherically symmetric space-time. The dynamical observations can be synthesised in terms of the metric coeﬃcients of the metric theory of gravity, in perturbations of v/c. As shown by Mendoza et al. (2013), the second order of approximation, O(2), is capable to account for the baryonic Tully-Fisher relation in galaxies and the details of gravitational lensing in groups and clusters of galaxies. In the present work (Bernal et al. 2015), we show that the fourth order of perturbation, O(4), of the theory accounts for the mass from the observations of 12 Chandra X-ray clusters of galaxies, without the need of dark matter. To compare the theory with such observational data, the point-mass gravitational potential is generalised to a mass distribution. In this sense, we calculate the ﬁrst relativistic correction of the theory, which is relevant at the outer regions of clusters of galaxies, in order to reproduce the observations.
Pdf file

Session	AT2	Accepted		Order	Time
Talk	Oral abstract	Title	Clusters of Galaxies with Extended f(\chi) Gravity
Coauthors
Abstract	In this work we show the results of the perturbation analysis of the gravitational metric theory of gravity f(\chi)=\chi^{3/2}, proposed by Bernal et al. (2011), for a static, spherically symmetric space-time. The dynamical observations can be synthesised in terms of the metric coefficients of the metric theory of gravity, in perturbations of v/c. As shown by Mendoza et al. (2013), the second order of approximation, O(2), is capable to account for the baryonic Tully-Fisher relation in galaxies and the details of gravitational lensing in groups and clusters of galaxies. In the present work (Bernal et al. 2015), we show that the fourth order of perturbation, O(4), of the theory accounts for the mass from the observations of 12 Chandra X-ray clusters of galaxies, without the need of dark matter. To compare the theory with such observational data, the point-mass gravitational potential is generalised to a mass distribution. In this sense, we calculate the first relativistic correction of the theory, which is relevant at the outer regions of clusters of galaxies, in order to reproduce the observations.
Pdf file