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Einstein’s Field Equations

Unification of Electromagnetism and Gravitation

Unification of Electromagnetism and Gravitation

... Maxwell’s field equations and the classical physics that flows from them are derivable from the fundamental equations (1) through (4), at this point it is not obvious that the same can be said of ...

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Applications of Riemannian Geometry Comparing with Symplectic Geometry

Applications of Riemannian Geometry Comparing with Symplectic Geometry

... Albert Einstein discovered that the Riemannian geometry can be successfully used to describe general relativity theory which is in fact a classical theory of ...Einstein’s Field Equations (EFE) ...

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Class of Charged Fluid Balls in General Relativity

Class of Charged Fluid Balls in General Relativity

... The search for the exact solutions is of continuous interest to researcher. Buchdahl [6] proposed a famous bound on the mass radius ratio of relativistic fluid spheres which is an important contribution in order to study ...

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Encoding Possible Final States
of the Universe
with Conformal Structures

Encoding Possible Final States of the Universe with Conformal Structures

... There are a number of models which describe an isotropic universe. The astro- physical community most commonly uses the Friedmann-Robertson-Walker (FRW) family of models which we will briefly introduce in chapter 3. ...

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Analytical Models for Quark Stars with Van Der Waals Modified Equation of State

Analytical Models for Quark Stars with Van Der Waals Modified Equation of State

... for Einstein field equations [1, ...solving Einstein´s field equations in order to explain behaviour of objects in strong gravitational fields such as neutron stars, ...

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Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution

Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution

... of Einstein-Maxwell field equations, not many realistic well behaved, analytic solutions are known for the description of relativistic charge fluid ...

5

A Global Solution of the Einstein Maxwell Field Equations for Rotating Charged Matter

A Global Solution of the Einstein Maxwell Field Equations for Rotating Charged Matter

... our equations, this provides a full explanation why Blackett’s formula is sometimes valid and why this occurs only for a range of ...the equations derived from the exact global solution of the ...

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Riemannian Space Time, de Donder Conditions and Gravitational Field in Flat Space Time

Riemannian Space Time, de Donder Conditions and Gravitational Field in Flat Space Time

... and Einstein equations is equivalent to desorb the GGP tensor from a Riemannian space-time to a Minkowski space-time and choosing the global Cartesian ...in Einstein equations, the Equation ...

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Stationarity of asymptotically flat non radiating electrovacuum spacetimes

Stationarity of asymptotically flat non radiating electrovacuum spacetimes

... His equations encode the evolution of the gravitational field, described by a Lorentzian metric, coupled to the matter/energy content present in the uni- verse ...Einstein’s equations, but also one ...

136

The Einstein equations in the null quasi-spherical gauge

The Einstein equations in the null quasi-spherical gauge

... n s of the Schwarzschild m etric, which can be interpreted physically as th e effect of the in teractio n of weak gravitational radiation on the Schwarzschild space-tim ...linearised field equations ...

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LRS Bianchi Type I Universe with Anisotropic Dark Energy in Lyra Geometry

LRS Bianchi Type I Universe with Anisotropic Dark Energy in Lyra Geometry

... Lyra [22] proposed a modification of Riemannian geometry by introducing a gauge function into the struc- ture-less manifold, as a result of which the cosmological constant arises naturally from the geometry. This bears a ...

6

Study on einstein  kaehlerian decomposable recurrent space of first order

Study on einstein kaehlerian decomposable recurrent space of first order

... Takano [1967] have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh ] have been studied and defined decomposition of recurrent curvature tensor field in a Finsler space. Singh and ...

6

The Integration of Hamilton Principle with Einstein Field Equation

The Integration of Hamilton Principle with Einstein Field Equation

... conjugated equations (6) and (7) should constitute the complete form of ...two equations, the real path as determined by Hamilton Principle would in nature be either the physical space as determined by the ...

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Classical and Quantum Field Theory of Bose-Einstein Condensates

Classical and Quantum Field Theory of Bose-Einstein Condensates

... Bose-Einstein condensates are a promising physical system to realise the ideas of analogue gravity [17], such as the observation of analogue Hawking radia- tion [16], analogue cosmological particle production [50] ...

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The Theory about Light

The Theory about Light

... Albert Einstein in ...Albert Einstein published his famous Einstein Field Equations (Einstein-Maxwell equations), which were the mathematical foundation on which the ...

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Gravitational Collapse and Singularities in Some Non-Schwarzschild's Space-Times

Gravitational Collapse and Singularities in Some Non-Schwarzschild's Space-Times

... m = and describes the gravitational field in the vicinity of a massless charged object. This is obviously unrealistic and corroborates the claims that this solution is unphysical [10]. Suppose, particles or ...

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New experiments in gravitational physics

New experiments in gravitational physics

... In order to answer this question we propose an experiment. We will examine the coupling of a spinor to a gravity field – look for an angle defect on an electron spinor. For the spinor we propose using a ...

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Black hole solutions in Einstein-charged scalar field theory

Black hole solutions in Einstein-charged scalar field theory

... Superradiant instabilities for charged black holes have been extensively studied in the linear regime. Although, the end-point of these instabilities remains un- known and a fully non-linear analysis is needed. Therefore ...

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Relativistic Derivations of de Broglie and Planck Einstein Equations

Relativistic Derivations of de Broglie and Planck Einstein Equations

... by Einstein in one of his fundamen- tal works of 1905, the energy of an electromagnetic radia- tion contained in a closed surface, and the frequency of the same radiation, change under the Lorentz transforma- ...

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Stress Energy Quantum Tensor : Linear Approximation of the Einstein ’s Equations and Equivalence with the Klein- Gordon’s equation

Stress Energy Quantum Tensor : Linear Approximation of the Einstein ’s Equations and Equivalence with the Klein- Gordon’s equation

... We then found a match between the wave function of quantum physics, and low deflection previously defined by calculating the linear approximation of Einstein equation. This equivalence suggests that, in some ...

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