Wormhole geometries induced by actiondependent Lagrangian theories
Abstract
In this work, we explore wormhole geometries in a recently proposed modified gravity theory arising from a nonconservative gravitational theory, tentatively denoted actiondependent Lagrangian theories. The generalized gravitational field equation essentially depends on a background fourvector λ^{μ}, that plays the role of a coupling parameter associated with the dependence of the gravitational Lagrangian upon the action, and may generically depend on the spacetime coordinates. Considering wormhole configurations, by using "Buchdahl coordinates," we find that the fourvector is given by λ_{μ}=(0 ,0 ,λ_{θ},0 ) and that the spacetime geometry is severely restricted by the condition g_{t t}g_{u u}=1 , where u is the radial coordinate. We find a plethora of specific asymptotically flat, symmetric, and asymmetric solutions with power law choices for the function λ , by generalizing the EllisBronnikov solutions and the recently proposed blackbounce geometries, among others. We show that these compact objects possess a far richer geometrical structure than their general relativistic counterparts.
 Publication:

Physical Review D
 Pub Date:
 February 2021
 DOI:
 10.1103/PhysRevD.103.044018
 arXiv:
 arXiv:2012.00047
 Bibcode:
 2021PhRvD.103d4018A
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 11 pages, 5 figures, V2: version accepted for publication in PRD