HALOS OF MODIFIED GRAVITY

2008 ◽  
Vol 17 (13n14) ◽  
pp. 2555-2562 ◽  
Author(s):  
KIRILL KRASNOV ◽  
YURI SHTANOV
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Cosmological Constant ◽  
Modified Gravity ◽  
Alternative Explanation ◽  
Gravitational Mass ◽  
Spherically Symmetric ◽  
Simple Modification ◽  
Type Ia ◽  
Supernova Type Ia

We describe how a certain simple modification of general relativity, in which the local cosmological constant is allowed to depend on the space–time curvature, predicts the existence of halos of modified gravity surrounding spherically symmetric objects. We show that the gravitational mass of an object weighed together with its halo can be much larger than its gravitational mass as seen from inside the halo. This effect could provide an alternative explanation of the dark-matter phenomenon in galaxies. In this case, the local cosmological constant in the solar system must be some six orders of magnitude larger than its cosmic value obtained in the supernova type Ia experiments. This is well within the current experimental bounds, but may be directly observable in future high-precision experiments.

scholarly journals Modified Gravity and Dark Matter

2021 ◽  
Author(s):  
Syed Abbas ◽  
Nasim Akhtar ◽  
Danish Alam
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Quantum Mechanics ◽  
Modified Gravity ◽  
Gravitational Force ◽  
Relativistic Quantum ◽  
The Other ◽  
Gravitational Mass ◽  
Galilei Group ◽  
The Universe

At present there is a renewed interest in theories of ”modified” gravity. Here, under a more drastic modification enforced by Galilei group, we obtain a completely new gravitational structure, and which exists in addition to the already available general relativity of today. Correlated with this, we show that in addition, there is a new ”modified” quantum mechanics, in as much as it exists as an independent and new ”pure” non-relativistic quantum me- chanics, and which has no relativistic counterpart. This is in addition to the present quantum mechanics, where the relativistic and non-relativistic structures are counterparts of each other. The above holds, firstly due to the correlation between Galilei group and quantum mechanics. These math- ematical conclusions are consolidated by the fact that there exists a physical Majorana interaction between each neutron- proton pairs in nuclei. Galilei invariance of Majorana exchange in Majorana interaction, shows that the mass here is of pure gravitational nature, and which is immune to the other three forces. This makes an amazing connection between the gravitational force and the quantum mechanics. This pure gravitational mass would man- ifest itself as dark matter of the universe. It is our new modified gravity that generates the dark matter.

scholarly journals Dark matter in logarithmic F(R) gravity

2019 ◽  
Vol 28 (12) ◽  
pp. 1950157 ◽  
Author(s):  
Tomohiro Inagaki ◽  
Yamato Matsuo ◽  
Hiroki Sakamoto
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Modified Gravity ◽  
Field Method ◽  
Quantum Corrections ◽  
Prototype Model ◽  
Wide Range ◽  
Modified Gravity Theories ◽  
Primordial Inflation ◽  
Cmb Fluctuations

The logarithmic [Formula: see text]-corrected [Formula: see text] gravity is investigated as a prototype model of modified gravity theories with quantum corrections. By using the auxiliary field method, the model is described by the general relativity with a scalaron field. The scalaron field can be identified as an inflaton at the primordial inflation era. It is also one of the dark matter candidates in the dark energy (DE) era. It is found that a wide range of the parameters is consistent with the current observations of CMB fluctuations, DE and dark matter.

scholarly journals On galaxy rotation curves from a continuum mechanics approach to modified gravity

2018 ◽  
Vol 27 (02) ◽  
pp. 1850007 ◽  
Author(s):  
Christian G. Böhmer ◽  
Nicola Tamanini ◽  
Matthew Wright
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Continuum Mechanics ◽  
Modified Gravity ◽  
Galactic Rotation ◽  
Dark Matter Halos ◽  
Additional Structure ◽  
Rotation Curves ◽  
Small Deviations ◽  
Galaxy Rotation Curves

We consider a modification of General Relativity motivated by the treatment of anisotropies in Continuum Mechanics. The Newtonian limit of the theory is formulated and applied to galactic rotation curves. By assuming that the additional structure of spacetime behaves like a Newtonian gravitational potential for small deviations from isotropy, we are able to recover the Navarro–Frenk–White profile of dark matter halos by a suitable identification of constants. We consider the Burkert profile in the context of our model and also discuss rotation curves more generally.

scholarly journals A PRELIMINARY ANALYSIS OF THE ENERGY TRANSFER BETWEEN THE DARK SECTORS OF THE UNIVERSE

2009 ◽  
Vol 24 (21) ◽  
pp. 1689-1698 ◽  
Author(s):  
JIA ZHOU ◽  
BIN WANG ◽  
DIEGO PAVÓN ◽  
ELCIO ABDALLA
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Preliminary Analysis ◽  
Irreversible Processes ◽  
Sterile Neutrinos ◽  
Thermodynamics Of Irreversible Processes ◽  
Independent Estimate ◽  
Type Ia ◽  
Supernova Type Ia ◽  
The Universe

We study the mutual interaction between the dark sectors (dark matter and dark energy) of the Universe by resorting to the extended thermodynamics of irreversible processes and constrain the former with supernova type Ia data. As a by-product, the present dark matter temperature results are not extremely small and can meet the independent estimate of the temperature of the gas of sterile neutrinos.

A resolution of a metric singularity associated with the introduction of Λ into static spherically symmetric systems

2017 ◽  
Vol 26 (04) ◽  
pp. 1750039 ◽  
Author(s):  
Thomas E. Kiess
Keyword(s):  
General Relativity ◽  
Cosmological Constant ◽  
Cosmological Parameters ◽  
Classical General Relativity ◽  
Spherically Symmetric ◽  
Astronomical Observations ◽  
Ordinary Matter ◽  
Physical Systems ◽  
General Relativistic ◽  
Symmetric Systems

We resolve a metric singularity at large [Formula: see text] that is due to the introduction of the cosmological constant [Formula: see text] in simple static spherically symmetric systems in classical general relativity for a mass bounded within a radius [Formula: see text]. For the metric to be nonsingular, we find that ordinary matter must exist beyond [Formula: see text], and that mass densities and [Formula: see text] must have spatial ranges. These features can be developed covariantly and can ameliorate discrepancies between theoretical values of [Formula: see text] and those derived from astronomical observations. Requiring a nonsingular metric in classical general relativistic modeling of this and other physical systems has the potential to offer suggestive insights into cosmological parameters.

Dark matter (energy) may be indistinguishable from modified gravity (MOND)

2017 ◽  
Vol 26 (12) ◽  
pp. 1743010 ◽  
Author(s):  
C. Sivaram
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Dark Energy ◽  
Modified Gravity ◽  
Observational Evidence ◽  
Negative Results ◽  
Newtonian Dynamics ◽  
Special Cases ◽  
The Universe ◽  
Matter Energy

For Newtonian dynamics to hold over galactic scales, large amounts of dark matter (DM) are required which would dominate cosmic structures. Accounting for the strong observational evidence that the universe is accelerating requires the presence of an unknown dark energy (DE) component constituting about 70% of the matter. Several ingenious ongoing experiments to detect the DM particles have so far led to negative results. Moreover, the comparable proportions of the DM and DE at the present epoch appear unnatural and not predicted by any theory. For these reasons, alternative ideas like MOND and modification of gravity or general relativity over cosmic scales have been proposed. It is shown in this paper that these alternate ideas may not be easily distinguishable from the usual DM or DE hypotheses. Specific examples are given to illustrate this point that the modified theories are special cases of a generalized DM paradigm.

scholarly journals New Black Holes Solutions in a Modified Gravity

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
M. Hamani Daouda ◽  
Manuel E. Rodrigues ◽  
M. J. S. Houndjo
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Modified Gravity ◽  
Gauge Theories ◽  
Matter Content ◽  
Spherically Symmetric ◽  
Commutator Algebra ◽  
Spherically Symmetric Solutions ◽  
Basic Concepts ◽  
Rindler Acceleration

We present some basic concepts of a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a substratum. New spherically symmetric solutions of this theory are obtained and can be viewed as solutions that reproduce the mass, the charge, the cosmological constant, and the Rindler acceleration, without coupling with the matter content, that is, in the vacuum.

scholarly journals THE CONSISTENT NEWTONIAN LIMIT OF EINSTEIN'S GRAVITY WITH A COSMOLOGICAL CONSTANT

2001 ◽  
Vol 10 (05) ◽  
pp. 649-661 ◽  
Author(s):  
MAREK NOWAKOWSKI
Keyword(s):  
Boundary Condition ◽  
General Relativity ◽  
Cosmological Constant ◽  
Mass Distribution ◽  
Newtonian Limit ◽  
Spherically Symmetric ◽  
Maximum Mass ◽  
Finite Range ◽  
Positive Cosmological Constant ◽  
The Poisson Equation

We derive the "exact" Newtonian limit of general relativity with a positive cosmological constant Λ. We point out that in contrast to the case with Λ=0, the presence of a positive Λ in Einsteins's equations enforces, via the condition |Φ|≪1 on the potential Φ, a range ℛ max (Λ)≫r≫ℛ min (Λ), within which the Newtonian limit is valid. It also leads to the existence of a maximum mass, ℳ max (Λ). As a consequence we cannot put the boundary condition for the solution of the Poisson equation at infinity. A boundary condition suitably chosen now at a finite range will then get reflected in the solution of Φ provided the mass distribution is not spherically symmetric.

scholarly journals R2-Cosmology and New Windows for Superheavy Dark Matter

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 877
Author(s):  
Elena Arbuzova ◽  
Alexander Dolgov ◽  
Rajnish Singh
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Modified Gravity ◽  
Gauge Bosons ◽  
Decay Channels ◽  
Decay Modes ◽  
The Masses ◽  
Superheavy Dark Matter ◽  
The Universe

Evolution and heating of the universe in R2-modified gravity are considered. It is shown that the universe’s history can be separated into four different epochs: (1) inflation, (2) heating due to curvature oscillations (scalaron decay), (3) transition to matter dominated period, and (4) conventional cosmology governed by General Relativity. Cosmological density of dark matter (DM) particles for different decay channels of the scalaron is calculated. The bounds on the masses of DM particles are derived for the following dominant decay modes: to minimally coupled scalars, to massive fermions, and to gauge bosons.

Sign in / Sign up

Export Citation Format

Share Document