<i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution

We present a new kind of model, which we call <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Theories, where standard theories are modified including new fields, motivated by an...

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Main Authors: Jorge Alfaro, Pablo González
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/5/96
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author Jorge Alfaro
Pablo González
author_facet Jorge Alfaro
Pablo González
author_sort Jorge Alfaro
collection DOAJ
description We present a new kind of model, which we call <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Theories, where standard theories are modified including new fields, motivated by an additional symmetry (<inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> symmetry). In previous works, we proved that <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Theories just live at one loop, so the model in a quantum level can be interesting. In the gravitational case, we have <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity, based on two symmetric tensors, <inline-formula> <math display="inline"> <semantics> <msub> <mi>g</mi> <mrow> <mi>&#956;</mi> <mi>&#957;</mi> </mrow> </msub> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msub> <mover accent="true"> <mi>g</mi> <mo stretchy="false">&#732;</mo> </mover> <mrow> <mi>&#956;</mi> <mi>&#957;</mi> </mrow> </msub> </semantics> </math> </inline-formula>, where quantum corrections can be controlled. In this paper, a review of the classical limit of <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity in a Cosmological level will be developed, where we explain the accelerated expansion of the universe without Dark Energy and the rotation velocity of galaxies by the Dark Matter effect. Additionally, we will introduce other phenomenon with <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity like the deflection of the light produced by the sun, the perihelion precession, Black Holes and the Cosmological Inflation.
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spelling doaj.art-ffbda1105ef94633864dc555b2d869022022-12-22T04:01:50ZengMDPI AGUniverse2218-19972019-04-01559610.3390/universe5050096universe5050096<i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild SolutionJorge Alfaro0Pablo González1Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Macul, Santiago 7810000, ChileSede Esmeralda, Universidad de Tarapacá, Avda. Luis Emilio Recabarren 2477, Iquique 1130000, ChileWe present a new kind of model, which we call <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Theories, where standard theories are modified including new fields, motivated by an additional symmetry (<inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> symmetry). In previous works, we proved that <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Theories just live at one loop, so the model in a quantum level can be interesting. In the gravitational case, we have <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity, based on two symmetric tensors, <inline-formula> <math display="inline"> <semantics> <msub> <mi>g</mi> <mrow> <mi>&#956;</mi> <mi>&#957;</mi> </mrow> </msub> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msub> <mover accent="true"> <mi>g</mi> <mo stretchy="false">&#732;</mo> </mover> <mrow> <mi>&#956;</mi> <mi>&#957;</mi> </mrow> </msub> </semantics> </math> </inline-formula>, where quantum corrections can be controlled. In this paper, a review of the classical limit of <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity in a Cosmological level will be developed, where we explain the accelerated expansion of the universe without Dark Energy and the rotation velocity of galaxies by the Dark Matter effect. Additionally, we will introduce other phenomenon with <inline-formula> <math display="inline"> <semantics> <mi>&#948;</mi> </semantics> </math> </inline-formula> Gravity like the deflection of the light produced by the sun, the perihelion precession, Black Holes and the Cosmological Inflation.https://www.mdpi.com/2218-1997/5/5/96modified gravitydark energydark mattergeneral relativity
spellingShingle Jorge Alfaro
Pablo González
<i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
Universe
modified gravity
dark energy
dark matter
general relativity
title <i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
title_full <i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
title_fullStr <i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
title_full_unstemmed <i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
title_short <i>δ</i> Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
title_sort i δ i gravity dark sector post newtonian limit and schwarzschild solution
topic modified gravity
dark energy
dark matter
general relativity
url https://www.mdpi.com/2218-1997/5/5/96
work_keys_str_mv AT jorgealfaro idigravitydarksectorpostnewtonianlimitandschwarzschildsolution
AT pablogonzalez idigravitydarksectorpostnewtonianlimitandschwarzschildsolution