scholarly journals The effective action for a spherical dust shell in general relativity

2002 ◽  
Vol 6 (4) ◽  
pp. 365-367
Author(s):  
V. D. Gladush
Keyword(s):  
General Relativity ◽  
Effective Action ◽  
Dust Shell

scholarly journals Effective action and thermodynamics of radiating shells in general relativity

1999 ◽  
Vol 60 (12) ◽  
Author(s):  
G. L. Alberghi ◽  
R. Casadio ◽  
G. Venturi
Keyword(s):  
General Relativity ◽  
Effective Action

scholarly journals Dynamical tides in general relativity: Effective action and effective-one-body Hamiltonian

2016 ◽  
Vol 94 (10) ◽  
Author(s):  
Jan Steinhoff ◽  
Tanja Hinderer ◽  
Alessandra Buonanno ◽  
Andrea Taracchini
Keyword(s):  
General Relativity ◽  
Effective Action

ON THE DERIVATION OF THE STRING EFFECTIVE ACTION FROM AN ACCELERATION FIELD

1995 ◽  
Vol 04 (02) ◽  
pp. 259-266
Author(s):  
S. CAPOZZIELLO ◽  
R. DE RITIS ◽  
A. FEOLI
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Effective Action ◽  
Conformal Transformation ◽  
Planck Scale ◽  
Gravitational Action ◽  
Acceleration Field ◽  
Maximal Acceleration ◽  
Frw Metric ◽  
Special Case

We show that the string cosmology with dilaton can be derived, as a special case, from Caianiello’s model of General Relativity with maximal acceleration interpreting the dilaton as an acceleration field. In fact Caianiello’s theory allows us to recover the stringdilaton effective action starting from a gravitational action which is minimally coupled to a scalar field by means of a particular conformal transformation of the Friedman-Robertson-Walker (FRW) metric. We show that this scheme works near the Planck scale where the pure string-dilaton dynamics works.

scholarly journals Collapsing Wormholes Sustained by Dustlike Matter

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 186
Author(s):  
Pavel E. Kashargin ◽  
Sergey V. Sushkov
Keyword(s):  
General Relativity ◽  
General Solution ◽  
Space Time ◽  
Time Structure ◽  
Energy Conditions ◽  
Spherically Symmetric ◽  
Friedmann Universe ◽  
Dust Shell ◽  
Wormhole Solution ◽  
Space Time Structure

It is well known that static wormhole configurations in general relativity (GR) are possible only if matter threading the wormhole throat is “exotic”—i.e., violates a number of energy conditions. For this reason, it is impossible to construct static wormholes supported only by dust-like matter which satisfies all usual energy conditions. However, this is not the case for non-static configurations. In 1934, Tolman found a general solution describing the evolution of a spherical dust shell in GR. In this particular case, Tolman’s solution describes the collapsing dust ball; the inner space-time structure of the ball corresponds to the Friedmann universe filled by a dust. In the present work we use the general Tolman’s solution in order to construct a dynamic spherically symmetric wormhole solution in GR with dust-like matter. The solution constructed represents the collapsing dust ball with the inner wormhole space-time structure. It is worth noting that, with the dust-like matter, the ball is made of satisfies the usual energy conditions and cannot prevent the collapse. We discuss in detail the properties of the collapsing dust wormhole.

scholarly journals THE QUASI-CLASSICAL MODEL OF THE SPHERICAL CONFIGURATION IN GENERAL RELATIVITY

2002 ◽  
Vol 11 (03) ◽  
pp. 367-389 ◽  
Author(s):  
VALENTIN D. GLADUSH
Keyword(s):  
General Relativity ◽  
Bound States ◽  
Classical Model ◽  
Stationary States ◽  
Bare Mass ◽  
Dust Shell ◽  
Spherical Shells ◽  
S States ◽  
Quantization Rules

We consider the quasi-classical model of the spin-free configuration on the basis of the self-gravitating spherical dust shell in general relativity. For determination of the energy spectrum of the stationary states on the basis of quasi-classical quantization rules it is required to carry out some regularization of the system. It is realized by an embedding of the initial system in the extended system with rotation. Then, the stationary states of the spherical shells are S-states of the system with the intrinsic momentum. The quasi-classical treatment of a stability of the configuration is associated with the Langer modification of a square of the quantum mechanical intrinsic momentum. It gives value of critical bare mass of the shell determining threshold of stability. For the shell with the bare mass smaller or equal to the Planck's mass, the energy spectra of bound states are found. We obtain the expression for tunneling probability of the shell and construct the quasi-classical model of the pair creation and annihilation of the shells.

Sign in / Sign up

Export Citation Format

Share Document