When you want to answer the question: "Is gravity a curvature in space-time, a force, or a wave?" in this case, it is IMO important to know what is the reason behind this question.
There can be two reasons:
- First Example to study is what happens when you push against a round ball on a flat table.
Before you push the ball is at rest on the table. The ball is kept at rest by the force of gravity, which presses the ball against the table.
When you push you produce a force of a certain duration, which gives the ball energy in a certain direction.
At the same time weight of the ball causes a force, called friction, which acts in opposite direction as the moving ball.
What is the general way to explain this behavior: The force of gravity.
- The second example to study is to study the behavior of the stars around the BH Sagittarius A* in the center of our Galaxy.
The first explanation is that from a physical point of view all these stars attract each other by means of the force of gravity. This explanation can also be used to study the behavior of the planets around the Sun. From an vissible observation point of view both configurations are very stable. This indicates, that they are rather easy to describe, by means of mathematics. But mathematics is no explanation. With mathematics you can not explain that you can boil an egg. Why a bird can fly.
Also the general way to describe this behavior: The force of gravity.
Is gravity a wave? No.
Can you explain the behavior of stars by means of gravitons? Yes. Gravitons are the sources entities or objects to communicate (the force of gravity) between objects with mass. The universe is not empty, but filled with photons and gravitons. We human have eyes, with our eyes we can detect photons. Humans can de attracted towards each other, but that is not by the force of gravity; we cann't sense the force of gravity, but we emit gravitons.
Does the behavior of stars demonstrates waves? Yes. Two rotating stars emit gravitons. At any position in space the amount of gravitons is a combination of the gravitons emitted by both stars. This amount fluctuates between a maximum and a minimum, and because the two stars rotate, these maxima and minima rotate as density waves through space.
The physical idea behind gravitons is, that they move in straight lines through the universe, undisturbed by other objects, they meet in their paths. This is different as photons which are attracted by the objects they meet.
Is gravity a curvature of space-time ?
What we observe that the orbits of all the stars around the BH Sagittarius A* are curved. The orbits are elliptical.
The most special star is S62. S62 is the closest star and has revolution time of 10 years.
See: VB2019 Sagittarius.program