An international research team led by Prof. Michael Kramer of the University of Manchester’s Jodrell Bank Observatory, UK, has used three years of observations of the “double pulsar”, a unique pair of natural stellar clocks which they discovered in 2003, to prove that Einstein’s theory of general relativity – the theory of gravity that displaced Newton’s – is correct to within a staggering 0.05%. Their results are published on the14th September in the journal Science and are based on measurements of an effect called the Shapiro Delay.
The double pulsar system, PSR J0737-3039A and B, is 2000 light-years away in the direction of the constellation Puppis. It consists of two massive, highly compact neutron stars, each weighing more than our own Sun but only about 20 km across, orbiting each other every 2.4 hours at speeds of a million kilometres per hour. Separated by a distance of just a million kilometres, both neutron stars emit lighthouse-like beams of radio waves that are seen as radio “pulses” every time the beams sweep past the Earth. It is the only known system of two detectable radio pulsars orbiting each other. Due to the large masses of the system, they provide an ideal opportunity to test aspects of General Relativity:
* Gravitational redshift: the time dilation causes the pulse rate from one pulsar to slow when near to the other, and vice versa.
* Shapiro delay: The pulses from one pulsar when passing close to the other are delayed by the curvature of space-time. Observations provide two tests of General Relativity using different parameters.
* Gravitational radiation and orbital decay: The two co-rotating neutron stars lose energy due to the radiation of gravitational waves. This results in a gradual spiralling in of the two stars towards each other until they will eventually coalesce into one body.
By precisely measuring the variations in pulse arrival times using three of the world’s largest radio telescopes, the Lovell Telescope at Jodrell Bank, the Parkes radio-telescope in Australia, and the Robert C. Byrd Green Bank Telescope in West Virginia, USA, the researchers found the movement of the stars to exactly follow Einstein’s predictions. “This is the most stringent test ever made of General Relativity in the presence of very strong gravitational fields — only black holes show stronger gravitational effects, but they are obviously much more difficult to observe”, says Kramer.
Since both pulsars are visible as radio emitting clocks of exceptional accuracy, it is possible to measure their distances from their common centre of gravity. “As in a balanced see-saw, the heavier pulsar is closer to the centre of mass, or pivot point, than the lighter one and so allows us to calculate the ratio of the two masses”, explains co-author Ingrid Stairs, an assistant professor at the University of British Columbia in Vancouver, Canada. “What’s important is that this mass ratio is independent of the theory of gravity, and so tightens the constraints on General Relativity and any alternative gravitational theories.” adds Maura McLaughlin, an assistant professor at West Virginia University in Morgantown, WV, USA.
Though all the independent tests available in the double pulsar system agree with Einstein’s theory, the one that gives the most precise result is the time delay, known as the Shapiro Delay, which the signals suffer as they pass through the curved space-time surrounding the two neutron stars. It is close to 90 millionths of a second and the ratio of the observed and predicted values is 1.0001 +/- 0.0005 – a precision of 0.05%.
A number of other relativistic effects predicted by Einstein can also be observed. “We see that, due to its mass, the fabric of space-time around a pulsar is curved. We also see that the pulsar clock runs slower when it is deeper in the gravitational field of its massive companion, an effect known as “time dilation”.
A key result of the observations is that the pulsar’s separation is seen to be shrinking by 7mm/day. Einstein’s theory predicts that the double pulsar system should be emitting gravitational waves – ripples in space-time that spread out across the Universe at the speed of light. “These waves have yet to be directly detected “, points out team member Prof. Dick Manchester from the Australia Telescope National Facility, “but, as a result, the double pulsar system should lose energy causing the two neutron stars to spiral in towards each other by precisely the amount that we have observed – thus our observations give an indirect proof of the existence of gravitational waves.”
Michael Kramer concludes; “The double pulsar is really quite an amazing system. It not only tells us a lot about general relativity, but it is a superb probe of the extreme physics of super-dense matter and strong magnetic fields but is also helping us to understand the complex mechanisms that generate the pulsar’s radio beacons.” He concludes; “We have only just begun to exploit its potential!”
In 1960 Pound and Rebka measured the gravitational redshift: their result confirmed Einstein’s formula c’=c+V/c, where c’ is the VARIABLE speed of light in a gravitational field, c is the initial speed of light relative to the light source and V is the gravitational potential. By applying the equivalence principle one can easily deduce c’=c+v, where c’ is the VARIABLE speed of light in the absence of a gravitational field and v is the relative speed of the light source and the observer. Clearly, the gravitational redshift is fatal for Einstein’s theory. Remember Einstein’s words:
“If the speed of light is the least bit affected by the speed of the light source, then my whole theory of relativity and theory of gravity is false.”
Pentcho Valev
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