Space-time curvature should be as unequal steps of growing stairs.

 Space time curvature must be lines pair but not just symmetrically; It also determines the similar and neighboring double planets formation slight asymmetrically.. It also produces ecliptic orbitals and similar neighboring  pair planets according to theirs star.

In physics, gravitational waves are ripples in the curvature of spacetime that propagate as a wave, travelling outward from the source. Predicted in 1916 by Albert Einstein to exist on the basis of his theory of general relativity, gravitational waves theoretically transport energy asgravitational radiation. Sources of detectable gravitational waves could possibly include binary star systems composed of white dwarfs, neutron stars, or black holes. The existence of gravitational waves is a possible consequence of the Lorentz invariance of general relativity since it brings the concept of a limiting speed of propagation of the physical interactions with it. Gravitational waves cannot exist in the Newtonian theory of gravitation, in which physical interactions propagate at infinite speed.

Einstein's special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as ``spacetime''. His general theory of relativity further taught us that spacetime is not just a stage on which dynamics takes place, but is a participant: The field equation of general relativity connects matter dynamics to the curvature of spacetime. Curvature is responsible for gravity, carrying us beyond the Newtonian conception of gravity that had been in place for the previous two and a half centuries. Much research in gravitation since then has explored and clarified the consequences of this revolution; the notion of dynamical spacetime is now firmly established in the toolkit of modern physics. Indeed, this notion is so well established that we may now contemplate using spacetime as a tool for other science. One aspect of dynamical spacetime -- its radiative character, ``gravitational radiation'' -- will inaugurate entirely new techniques for observing violent astrophysical processes. Over the next one hundred years, much of this subject's excitement will come from learning how to exploit spacetime as a tool for astronomy.

 

Space-time curvature must be formed as asymmetric  dual lines and look like unequal steps of circle stair

Upper and lower sides of a step of the stairs are not equal (asymmetric)and  they produce to form similar neighboring  planets as pairs.

Space time curvature must be formed by gravitational  waves like steps of a stair getting larger and weaker increasingly away but not just symmetrically  

Here,I say space time curvature producing by its star,darc hole or planet are in a form like asymmetric double lines.It isnt in a just regular form completely.It must be like a pressing stairs without equal Upper and lower sides of a step is also unequal .The similarities  and asymmetry of the neighbour planets(Uranus-Neptune,Jupiter-Saturn,Eart-Venus)  formation  show or  example for it.

I think; chemically and physically similar , formed as right-left but not the full in  symmetric everything  from particles to universe  may be an  unknown  physical law and it also may be main part of the teory of the everything.

Similarities between the  neighboring planets may not be random . The planets in our solar system and other Sun-like star planetary systems may be formed as similar pairs. There are two primary criteria for pair planets to be considered as planetary pair: Similar pair planets could be thought as similar double planets but not just symmetrically.

1)They must have the similar physical and chemical structure and also close in mass and volume but not just symetrical.

2)If one of the planets is  composed of gas and the other is terrestrial, they are unable to be similar  pairs.Earth-Venus, Mars-asteroid belt, Jupiter-Saturn, and Uranus-Neptune might be considered to be similar pairs

Where will be  the orbital of the planets according to theirs star?.Space time curvature properties  may  determine the orbital of the planets and  similar pair formation asymmetrically

 The space time curvature  should not be equal lines as showed in this picture. It must be formed as dual lines and look like unequal steps of a circle stair.

In general relativity, the metric tensor (or simply, the metric) is the fundamental object of study. It may loosely be thought of as a generalization of thegravitational field familiar from Newtonian gravitation. The metric captures all the geometric and causal structure of spacetime, being used to define notions such as distance, volume, curvature, angle, future and past.

         

Are these physical and chemical  similarities coincidence?The similar planets formation may be due to properties of space-time curvature.

Similar pair planets could be thought as double planet,slightly asymmetrical.For similar neighboring  pairs , Uranus and Neptune are a good examples:Look at the physicals and chemicals similarities between the Uranus and Neptun but not completely symmetric or the same .This is essential; that is they will be similar,pair but not just symmetric formation.

"With similar physical and chemical, and all the light in the form of left-right asymmetric structure must be based on a law of physics"

Modified gravity laws

The earliest modified gravity model to emerge was Mordehai Milgrom's Modified Newtonian Dynamics (MOND) in 1983, which adjusts Newton's laws to create a stronger gravitational field when gravitational acceleration levels become tiny (such as near the rim of a galaxy). It had some success explaining galactic scale features, such as rotational velocity curves of elliptical galaxies, and dwarf elliptical galaxies, but did not successfully explain galaxy cluster gravitational lensing. However, MOND was not relativistic, since it was just a straight adjustment of the older Newtonian account of gravitation, not of the newer account in Einstein's general relativity. Soon after 1983, attempts were made to bring MOND into conformity with General Relativity; this is an ongoing process, and many competing hypotheses have emerged based around the original MOND model—including TeVeS, MOG or STV gravity, and phenomenological covariant approach,among others.

In 2007, John W. Moffat proposed a modified gravity hypothesis based on the Nonsymmetric Gravitational Theory (NGT) that claims to account for the behavior of colliding galaxies. This model requires the presence of non-relativistic neutrinos, or other candidates for (cold) dark matter, to work.

Another proposal uses a gravitational backreaction in an emerging theoretical field that seeks to explain gravity between objects as an action, a reaction, and then a back-reaction. Simply, an object A affects an object B, and the object B then re-affects object A, and so on: creating a sort of feedback loop that strengthens gravity.

Recently, another group has proposed a modification of large scale gravity in a hypothesis named "dark fluid". In this formulation, the attractive gravitational effects attributed to dark matter are instead a side-effect of dark energy. Dark fluid combines dark matter and dark energy in a single energy field that produces different effects at different scales. This treatment is a simplified approach to a previous fluid-like model called the Generalized Chaplygin gas model where the whole of spacetime is a compressible gas. Dark fluid can be compared to an atmospheric system. Atmospheric pressure causes air to expand, but part of the air can collapse to form clouds. In the same way, the dark fluid might generally expand, but it also could collect around galaxies to help hold them together.

Another set of proposals is based on the possibility of a double metric tensor for space-time.It has been argued that time-reversed solutions in general relativity require such double metric for consistency, and that both Dark Matter and Dark Energy can be understood in terms of time-reversed solutions of general relativity.

Conclusion:

Gravitational force must be form of  the consecutive waves getting weaker,larger and increasing distance to eachother as line pairs but not symmetrical; and that must be also the main factor establishing the similar and neighboring the  double planets formation but not  just symmetrically.Suggesting that gravity  model  has some similarities with double metric tensor of space time teory.



I also suggest and claim that everything from particles to universe  chemically and physically similar and  formed as right-left or up-down asymetrically   may be due to an  unknown  physical law and it also may be main part of the teory of the everything.



Space-time curvature must be formed as unequal couple lines and look like unequal circle stair steps.

Here ı mean;similar planetes formation are due to space-time curvature properties.

 References:

1.^ Finley, Dave. "Einstein's gravity theory passes toughest test yet: Bizarre binary star system pushes study of relativity to new limits.". Phys.Org.

  2.http://www.dpf99.library.ucla.edu/session14/barish1412.pdfThe Detection of Gravitational Waves using LIGO, B. Barish

  3.Eanna E. Flanagan, Scott A. Hughes

(Submitted on 12 Jan 2005 (v1), last revised 5 Oct 2005 (this version, v3))

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