Parametrized post-Newtonian virial theorem

Virial Theorem in Nonlocal Newtonian Gravity

Nonlocal gravity is the recent classical nonlocal generalization of Einstein’s theory of gravitation in which the past history of the gravitational field is taken into account. In this theory, nonlocality appears to simulate dark matter. The virial theorem for the Newtonian regime of nonlocal gravity theory is derived and its consequences for “isolated" astronomical systems in virial equilibriu...

Parametrized post-Newtonian expansion of Chern-Simons gravity

Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope

Chandra Kant Mishra,* K. G. Arun, Bala R. Iyer, and B. S. Sathyaprakash4,x Raman Research Institute, Bangalore, 560 080, India Department of Physics, Indian Institute of Science, Bangalore, 560 012, India McDonnell Center for the Space Sciences, Department of Physics, Washington University, St. Louis, Missouri 63130, USA School of Physics and Astronomy, Cardiff University, 5, The Parade, Cardif...

The Virial Theorem for Action-governed Theories

We describe a simple derivation of virial relations, for arbitrary physical systems that are governed by an action. The virial theorem may be derived directly from the action, A, with no need to go via the equations of motion, and is simply a statement of the stationarity of the action with respect to certain variations in the degrees of freedom. Only a sub-class of solutions that obey appropri...

q-Deformed Dynamics and Virial Theorem

In the framework of the q-deformed Heisenberg algebra the investigation of qdeformation of Virial theorem explores that q-deformed quantum mechanics possesses better dynamical property. It is clarified that in the case of the zero potential the theoretical framework for the q-deformed Virial theorem is self-consistent. In the selfadjoint states the q-deformed uncertainty relation essentially de...