scholarly journals Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case

2009 ◽  
Vol 26 (21) ◽  
pp. 215011 ◽  
Author(s):  
Rodolfo Gambini ◽  
Jorge Pullin ◽  
Saeed Rastgoo
2012 ◽  
Vol 29 (14) ◽  
pp. 145012 ◽  
Author(s):  
Enrique F Borja ◽  
Iñaki Garay ◽  
Eckhard Strobel

1997 ◽  
Vol 12 (27) ◽  
pp. 4831-4835 ◽  
Author(s):  
K. S. Virbhadra

We show that the well-known most general static and spherically symmetric exact solution to the Einstein-massless scalar equations given by Wyman is the same as one found by Janis, Newman and Winicour several years ago. We obtain the energy associated with this space–time and find that the total energy for the case of the purely scalar field is zero.


2010 ◽  
Vol 82 (10) ◽  
Author(s):  
Marcin Domagała ◽  
Kristina Giesel ◽  
Wojciech Kamiński ◽  
Jerzy Lewandowski

Author(s):  
Carlos A. R. Herdeiro ◽  
João M. S. Oliveira ◽  
Eugen Radu

AbstractRecently, no-go theorems for the existence of solitonic solutions in Einstein–Maxwell-scalar (EMS) models have been established (Herdeiro and Oliveira in Class Quantum Gravity 36(10):105015, 2019). Here we discuss how these theorems can be circumvented by a specific class of non-minimal coupling functions between a real, canonical scalar field and the electromagnetic field. When the non-minimal coupling function diverges in a specific way near the location of a point charge, it regularises all physical quantities yielding an everywhere regular, localised lump of energy. Such solutions are possible even in flat spacetime Maxwell-scalar models, wherein the model is fully integrable in the spherical sector, and exact solutions can be obtained, yielding an explicit mechanism to de-singularise the Coulomb field. Considering their gravitational backreaction, the corresponding (numerical) EMS solitons provide a simple example of self-gravitating, localised energy lumps.


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