FiniteRange Gravity and its Role in Gravitational Waves, Black Holes and Cosmology
Abstract
Theoretical considerations of fundamental physics, as well as certain cosmological observations, persistently point out to permissibility, and maybe necessity, of macroscopic modifications of the Einstein general relativity. The field theoretical formulation of general relativity helped us to identify the phenomenological seeds of such modifications. They take place in the form of very specific mass terms, which appear in addition to the field theoretical analog of the usual HilbertEinstein Lagrangian. We derive and study exact nonlinear equations of the theory, along with its linear approximation. We interpret the added terms as masses of spin2 and spin0 gravitons. The arising finiterange gravity is a fully consistent theory, which smoothly approaches general relativity in the massless limit, that is, when both masses tend to zero and the range of gravity tends to infinity. We show that all local weakfield predictions of the theory are in perfect agreement with the available experimental data. However, some other conclusions of the nonlinear massive theory are in a striking contrast with those of general relativity. We show in detail how the arbitrarily small mass terms eliminate the black hole event horizon and replace a permanent powerlaw expansion of a homogeneous isotropic universe with an oscillatory behaviour. One variant of the theory allows the cosmological scale factor to exhibit an 'accelerated expansion' instead of slowing down to a regular maximum of expansion. We show in detail why the traditional, FierzPauli, massive gravity is in conflict not only with the staticfield experiments, but also with the available indirect gravitationalwave observations. At the same time, we demonstrate the incorrectness of the widely held belief that the nonFierzPauli theories possess "negative energies" and "instabilities."
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2003
 DOI:
 10.1142/S0218271803004250
 arXiv:
 arXiv:grqc/0209006
 Bibcode:
 2003IJMPD..12.1905B
 Keywords:

 Massive gravity;
 gravitational waves;
 black holes;
 cosmology;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 56 pages including 11 figures