scholarly journals Classic tests of General Relativity described by brane-based spherically symmetric solutions

2014 ◽  
Vol 74 (8) ◽  
Author(s):  
R. R. Cuzinatto ◽  
P. J. Pompeia ◽  
M. de Montigny ◽  
F. C. Khanna ◽  
J. M. Hoff da Silva
Keyword(s):  
General Relativity ◽  
Spherically Symmetric ◽  
Tests Of General Relativity ◽  
Spherically Symmetric Solutions

Spherically symmetric solutions with heat flow in general relativity

Pramana ◽  
1990 ◽  
Vol 34 (5) ◽  
pp. 397-401 ◽  
Author(s):  
A Banerjee ◽  
S B Dutta Choudhury ◽  
B K Bhui
Keyword(s):  
General Relativity ◽  
Heat Flow ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solutions

Gravitational lensing, precession of periapsis and time delay due to wormhole in quintessence polytropic spacetime

2019 ◽  
Vol 34 (32) ◽  
pp. 1950264 ◽  
Author(s):  
Tuhina Manna ◽  
Farook Rahaman ◽  
Sabiruddin Molla ◽  
Amna Ali
Keyword(s):  
General Relativity ◽  
Time Delay ◽  
Gravitational Lensing ◽  
Index Formula ◽  
Polytropic Index ◽  
Spherically Symmetric ◽  
Tests Of General Relativity ◽  
Astrophysical Objects ◽  
Polytropic Equation ◽  
State Formula

The classical tests of General Relativity, namely, precession of periapsis, deflection of light and time delay serve to establish observational evidence for the theory of general relativity, so they are considered for several spherically symmetric astrophysical objects. In this paper, we investigate a stationary, spherically symmetric wormhole supported by a quintessence polytropic energy satisfying a polytropic equation of state: [Formula: see text], where [Formula: see text] is the polytropic index and [Formula: see text] is a positive constant such that [Formula: see text]. The solution of such an equation admits the negative null energy, which is the key ingredient for sustaining traversable wormholes. Motivated by the above-mentioned classical tests, we perform similar studies to explore the range of polytropic index [Formula: see text] which gives us promising results. The advance of periapsis with respect to a test particle and angle of deflection is calculated graphically for those values of [Formula: see text] which cannot be obtained analytically. The time delay has also been calculated numerically and tabulated.

scholarly journals Nonstatic Spherically Symmetric Solutions for a Perfect Fluid in General Relativity

1976 ◽  
Vol 29 (2) ◽  
pp. 113 ◽  
Author(s):  
N Chakravarty ◽  
SB Dutta Choudhury ◽  
A Banerjee
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Dynamical Behaviour ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Spherically Symmetric Solutions ◽  
Spherically Symmetric Distribution ◽  
General Method

A general method is described by which exact solutions of Einstein's field equations are obtained for a nonstatic spherically symmetric distribution of a perfect fluid. In addition to the previously known solutions which are systematically derived, a new set of exact solutions is found, and the dynamical behaviour of the corresponding models is briefly discussed.

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 Static spherically symmetric solutions in a subclass of Horndeski theories of gravity

2018 ◽  
Vol 15 (09) ◽  
pp. 1850152 ◽  
Author(s):  
Lorenzo Sebastiani
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Integration Constant ◽  
Spherically Symmetric ◽  
Rotation Curves ◽  
Spherically Symmetric Solutions ◽  
Euclidean Action ◽  
Theories Of Gravity ◽  
Static Spherically Symmetric Solutions

In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole (BH) solution and we will study its thermodynamics by using the Euclidean Action. We will see that, in analogy with the case of General Relativity (GR), the integration constant of the solution can be identified with the mass of the BH itself. Other solutions will be discussed, by posing special attention on the possibility of reproducing the observed profiles of the rotation curves of galaxies. a

scholarly journals An alternative approach to modelling a cosmic void and its effect on the cosmic microwave background

2019 ◽  
Vol 488 (3) ◽  
pp. 4081-4092 ◽  
Author(s):  
Do Young Kim ◽  
Anthony N Lasenby ◽  
Michael P Hobson
Keyword(s):  
General Relativity ◽  
Cosmic Microwave Background ◽  
Cold Spot ◽  
Spherically Symmetric ◽  
Microwave Background ◽  
Planck Data ◽  
Alternative Approach ◽  
Spherically Symmetric Solutions ◽  
Existing Data ◽  
Cmb Temperature

ABSTRACT We apply our tetrad-based approach for constructing spherically symmetric solutions in general relativity to modelling a void, and compare it with the standard Lemaître–Tolman–Bondi (LTB) formalism. In particular, we highlight the importance of considering the velocity as well as the density profile in constraining voids. We apply our approach to construct models for the void observed in the direction of Draco in the WISE–2MASS galaxy survey, and a corresponding cosmic microwave background (CMB) temperature decrement in the Planck data in the same direction. We find that the present-day density and velocity profiles of the void are not well constrained by the existing data, so that void models produced from the two approaches can differ substantially while remaining broadly consistent with the observations. We repeat our analysis to construct void models for the CMB Cold Spot, but show that although a single void can account for the WISE–2MASS galaxy survey data, it is not capable of producing a CMB temperature decrement sufficiently deep to be consistent with Planck CMB data.

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