Relativistic modeling of charged super-dense star with Einstein–Maxwell equations in general relativity

2012 ◽  
Vol 218 (17) ◽  
pp. 8260-8268 ◽  
Author(s):  
Neeraj Pant ◽  
S.K. Maurya
Keyword(s):  
General Relativity ◽  
Maxwell Equations ◽  
Super Dense Star

Zum Übergang von der Wellenoptik zur geometrischen Optik in der allgemeinen Relativitätstheorie

1967 ◽  
Vol 22 (9) ◽  
pp. 1328-1332 ◽  
Author(s):  
Jürgen Ehlers
Keyword(s):  
General Relativity ◽  
Maxwell Equations ◽  
Expansion Method ◽  
Flat Space ◽  
Space Time ◽  
Moving Medium ◽  
Formal Similarity ◽  
Curved Space ◽  
Optical Metric ◽  
Series Expansion Method

The transition from the (covariantly generalized) MAXWELL equations to the geometrical optics limit is discussed in the context of general relativity, by adapting the classical series expansion method to the case of curved space time. An arbitrarily moving ideal medium is also taken into account, and a close formal similarity between wave propagation in a moving medium in flat space time and in an empty, gravitationally curved space-time is established by means of a normal hyperbolic optical metric.

scholarly journals New Results in 5D Theory and Some Problems of Astrophysics and Cosmology

2020 ◽  
Author(s):  
Boris Aliyev
Keyword(s):  
General Relativity ◽  
Maxwell Equations ◽  
Magnetic Monopole ◽  
Rest Mass ◽  
Elementary Particles ◽  
Field Theories ◽  
Accelerated Expansion ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Insight Into

It is shown that the 5D Ricci identities give us a way to create a new viewpoint on the origin of the Maxwell equations, magnetic monopole problem, and also on some problems of the Astrophysics and Cosmology. Specifically, the application of the identities together with the monad and dyad methods makes it possible to introduce the new concept of the rest mass of the elementary particles. The latter leads to the new connections between the General Relativity and quantum field theories, as well as to a better understanding of the magnetic monopole problem and the origins of the Maxwell equations. The obtained results also provide a new insight into the mechanism of the accelerated expansion of the 4D Universe.

scholarly journals Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

2021 ◽  
Author(s):  
Boris Aliyev
Keyword(s):  
Elementary Particle ◽  
General Relativity ◽  
Maxwell Equations ◽  
Magnetic Monopole ◽  
Rest Mass ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Modern Physics ◽  
Insight Into

It is shown that the 5D geodetic equations and 5D Ricci identities give us a way to create a new viewpoint on some problems of Modern Physics, Astrophysics, and Cosmology. Specifically, the application of the 5D geodetic equations in (4+1) and (3+1+1) splintered forms obtained with the help of the monad and dyad methods made it possible to introduce a new, effective generalized concept of the rest mass of the elementary particle. The latter leads one to novel connections between the General Relativity and quantum field theories, as well as all of that, including the (4+1) splitting of the 5D Ricci identities, brings about a better understanding of the magnetic monopole problem and the vital difference in the origins of the Maxwell equations and gives rise to surprising connections between them. The obtained results also provide new insight into the mechanism of the 4D Universe’s expansion and its following acceleration.

scholarly journals On Kottler's path: Origin and evolution of the premetric program in gravity and in electrodynamics

2016 ◽  
Vol 25 (11) ◽  
pp. 1640016 ◽  
Author(s):  
Friedrich W. Hehl ◽  
Yakov Itin ◽  
Yuri N. Obukhov
Keyword(s):  
General Relativity ◽  
Gravitational Potential ◽  
Linear Response ◽  
Maxwell Equations ◽  
Constitutive Law ◽  
Classical Electrodynamics ◽  
Field Equations ◽  
Origin And Evolution ◽  
Fundamental Equations

In 1922, Kottler put forward the program to remove the gravitational potential, the metric of spacetime, from the fundamental equations in physics as far as possible. He successfully applied this idea to Newton’s gravitostatics and to Maxwell’s electrodynamics, where Kottler recast the field equations in premetric form and specified a metric-dependent constitutive law. We will discuss the basics of the premetric approach and some of its beautiful consequences, like the division of universal constants into two classes. We show that classical electrodynamics can be developed without a metric quite straightforwardly: the Maxwell equations, together with a local and linear response law for electromagnetic media, admit a consistent premetric formulation. Kottler’s program succeeds here without provisos. In Kottler’s approach to gravity, making the theory relativistic, two premetric quasi-Maxwellian field equations arise, but their field variables, if interpreted in terms of general relativity, do depend on the metric. However, one can hope to bring the Kottler idea to work by using the teleparallelism equivalent of general relativity, where the gravitational potential, the coframe, can be chosen in a premetric way.

Charged spheres in general relativity

1969 ◽  
Vol 47 (18) ◽  
pp. 1989-1994 ◽  
Author(s):  
M. C. Faulkes
Keyword(s):  
General Relativity ◽  
Total Energy ◽  
General Equation ◽  
Maxwell Equations ◽  
Equilibrium Configuration ◽  
Rate Of Change ◽  
Spherically Symmetric ◽  
Charged Matter ◽  
Spherically Symmetric Distribution ◽  
Charged Spheres

The Einstein–Maxwell equations for a spherically symmetric distribution of charged matter are studied. A general equation is derived for the rate of change of the "total energy" of the sphere in terms of the 4–4 component of the electromagnetic and matter tensors. It is shown that, subject to certain conditions, the spheres of charged matter can oscillate, and further that the static configuration is uniquely given by the relation m2 = 4πe2α, where [Formula: see text]. Finally, it is demonstrated that the equilibrium configuration is unstable to small radial perturbations.

scholarly journals GENERAL RELATIVITY AS AN ÆTHER THEORY

2012 ◽  
Vol 21 (02) ◽  
pp. 1250011 ◽  
Author(s):  
MAURICE J. DUPRÉ ◽  
FRANK J. TIPLER
Keyword(s):  
General Relativity ◽  
Ricci Tensor ◽  
Maxwell Equations ◽  
Einstein Equations ◽  
Newtonian Gravity ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Spatial Curvature ◽  
Stress Energy ◽  
Special Case

Most early twentieth century relativists — Lorentz, Einstein, Eddington, for examples — claimed that general relativity was merely a theory of the æther. We shall confirm this claim by deriving the Einstein equations using æther theory. We shall use a combination of Lorentz's and Kelvin's conception of the æther. Our derivation of the Einstein equations will not use the vanishing of the covariant divergence of the stress–energy tensor, but instead equate the Ricci tensor to the sum of the usual stress–energy tensor and a stress–energy tensor for the æther, a tensor based on Kelvin's æther theory. A crucial first step is generalizing the Cartan formalism of Newtonian gravity to allow spatial curvature, as conjectured by Gauss and Riemann. In essence, we shall show that the Einstein equations are a special case of Newtonian gravity coupled to a particular type of luminiferous æther. Our derivation of general relativity is simple, and it emphasizes how inevitable general relativity is, given the truth of Newtonian gravity and the Maxwell equations.

scholarly journals Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 295
Author(s):  
Boris G. Aliyev
Keyword(s):  
Elementary Particle ◽  
General Relativity ◽  
Maxwell Equations ◽  
Magnetic Monopole ◽  
Rest Mass ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Modern Physics ◽  
Insight Into

It is shown that the 5D geodetic equations and 5D Ricci identities give us a way to create a new viewpoint on some problems of modern physics, astrophysics, and cosmology. Specifically, the application of the 5D geodetic equations in (4+1) and (3+1+1) splintered forms obtained with the help of the monad and dyad methods made it possible to introduce a new, effective generalized concept of the rest mass of the elementary particle. The latter leads one to novel connections between the general relativity and quantum field theories, and all that, including the (4+1) splitting of the 5D Ricci identities, brings about a better understanding of the magnetic monopole problem and the vital difference in the origins of the Maxwell equations and gives rise to surprising connections between them. The obtained results also provide new insight into the mechanism of the 4D universe’s expansion and its following acceleration.

scholarly journals The Riemann-Silberstein vector in the Dirac algebra

2018 ◽  
Vol 65 (1) ◽  
pp. 65 ◽  
Author(s):  
Shahen Hacyan
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Explicit Form ◽  
Maxwell Equations ◽  
Compact Form ◽  
Algebraic Representation ◽  
Dirac Algebra ◽  
Null Tetrad ◽  
Covariant Derivatives ◽  
Tetrad Formulation

It is shown that the Riemann-Silberstein vector, defined as ${\bf E} + i{\bf B}$, appears naturally in the $SL(2,C)$ algebraic representation of the electromagnetic field. Accordingly, a compact form of the Maxwell equations is obtained in terms of Dirac matrices, in combination with the null-tetrad formulation of general relativity. The formalism is fully covariant; an explicit form of the covariant derivatives is presented in terms of the Fock coefficients.

On rotating charged dust in general relativity. V

1983 ◽  
Vol 389 (1797) ◽  
pp. 291-298 ◽  
Keyword(s):  
General Relativity ◽  
Maxwell Equations ◽  
Interior Solution ◽  
Charged Dust ◽  
Exterior Solution ◽  
Cylindrically Symmetric

We find an exact cylindrically symmetric stationary exterior solution of the Einstein-Maxwell equations. We then match this solution smoothly onto an interior solution for rotating charged dust found earlier by the author. The solution thus obtained is regular and well behaved inside the matter. Such matched solutions are rare either for the Einstein or Einstein-Maxwell equations. Some properties of the solution are discussed.

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