Compact and extended objects from self-interacting phantom fields

Abstract

In this work, we investigate localized and extended objects for gravitating, self-interacting phantom fields. The phantom fields come from two scalar fields with a "wrong-sign" (negative) kinetic energy term in the Lagrangian. This study covers several solutions supported by these phantom fields: phantom balls, traversable wormholes, phantom cosmic strings, and "phantom" domain walls. These four systems are solved numerically, and we try to draw out general, interesting features in each case.

On the Dynamical Nature of Nonlinear Coupling of Logarithmic Quantum Wave Equation, Everett-Hirschman Entropy and Temperature

“…Notice that the constant part of the coupling, b 0 , is induced not by the delta-singular part of the σ-field's distribution but by its extended part. This explains why solutions of the conventional logarithmic equation (4) are applicable for describing non-singular extended objects, such as Q-balls and finite-size particles [6][7][8][9][10][11] and superfluid droplets [30,31]. Additionally, the appearance of a new term, proportional to Q σ , indicates that the new model could also be instrumental in dealing with singular or point-like objects.…”

“…was historically the first to be studied [1][2][3][4]. The corresponding models were proven to be instrumental in dealing with extensions of quantum mechanics [3][4][5], physics of quantum fields and particles [1,2,[6][7][8][9][10][11], optics and * Electronic address: http://bit.do/kgz transport or diffusion phenomena [12,13], classical hydrodynamics of Korteweg-type materials [14][15][16][17][18][19], nuclear physics [20,21], theory of dissipative systems and quantum information [22][23][24][25][26][27][28][29], theory of quantum liquids and superfluidity [30][31][32][33][34], and theory of physical vacuum and classical and quantum gravity [35][36][37][38]. The mathematical properties of the logarithmic wave equation and its modifications and solutions were also extensively studied [5,29,30,…”

Stability and Metastability of Trapless Bose-Einstein Condensates and Quantum Liquids

“…In the works [25][26][27][28], a new quantum Bose liquid was proposed, which is described by a nonlinear quantum wave equation of a logarithmic kind, previously introduced on different grounds by Rosen and Bialynicki-Birula and Mycielski [29][30][31][32][33]. Currently, applications of this equation, both in its Euclidean and Lorentzsymmetric versions, can be found in nonlinear scalar field theory [29,30], extensions of quantum mechanics [31], physics of particles in presence of nontrivial vacuum [26,[34][35][36][37][38], microscopical theory of superfluidity of helium II [28], optics and transport or diffusion phenomena [39][40][41], nuclear physics [42,43], and theory of dissipative systems and quantum information [44][45][46][47][48][49]. Moreover, applications of logarithmic wave equations can be also found in classical and quantum gravity [25,26,50], where one can utilize the fluid/gravity correspondence between nonrelativistic inviscid fluids (such as superfluids) and pseudo-Riemannian manifolds [51][52][53][54][55].…”

Phantom domain walls

“…However, the possibility of a significant contribution of featureless domain walls -defined as domain walls whose physical velocity is always perpendicular to the wall -to the dark energy budget has since been ruled out both dynamically and observationally (the same also applies, even more strongly, in the case of line-like defects such as cosmic strings or point-like defects such as monopoles). Recently, in [14], compact and extended non-standard gravitating defect static solutions supported by phantom fields have been investigated, including phantom balls, strings and walls. Except for domain walls, all these solutions were shown to exhibit phantom behaviour.…”