scholarly journals On the Green's Function in an Expanding Universe and Its Role in the Problem of Mach's Principle

1968 ◽  
Vol 40 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Hidekazu Nariai
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Expanding Universe ◽  
Mach's Principle ◽  
Mach’S Principle

scholarly journals Gravitational Lagrangians, Mach’s Principle, and the Equivalence Principle in an Expanding Universe

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Hanno Essén
Keyword(s):  
Long Range ◽  
Equivalence Principle ◽  
Critical Density ◽  
Tensor Interaction ◽  
Expansion Velocity ◽  
Expanding Universe ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Long Range Interactions ◽  
Hubble Radius

Gravitational Lagrangians as derived by Fock for the Einstein-Infeld-Hoffmann approach, and by Kennedy assuming only a fourth rank tensor interaction, contain long range interactions. Here we investigate how these affect the local dynamics when integrated over an expanding universe out to the Hubble radius. Taking the cosmic expansion velocity into account in a heuristic manner it is found that these long range interactions imply Mach’s principle, provided the universe has the critical density, and that mass is renormalized. Suitable higher order additions to the Lagrangians make the formalism consistent with the equivalence principle.

scholarly journals Sources of inertia in an expanding universe

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Kjell Prytz
Keyword(s):  
Standard Model ◽  
Significant Part ◽  
Expanding Universe ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
The Standard Model ◽  
Expansion Of The Universe ◽  
The Universe

AbstractIn a cosmological perspective, gravitational induction is explored as a source to mechanical inertia in line with Mach’s principle. Within the standard model of cosmos, considering the expansion of the universe and the necessity of retarded interactions, it is found that the assumed dynamics may account for a significant part of an object’s inertia.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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