Solutions Without Singularities in Gauge Theory of Gravitation

Zet, G.; Oprisan, C. D.; Babeti, Simona

doi:10.1142/s0129183104006443

Cited by 11 publications

(6 citation statements)

References 6 publications

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“…The gauge theory of gravity is a theory of general relativity in the de Sitter group SO(4, 1) on a commutative 4-dimensional metric with spherical symmetric in Minkowski spacetime, which is proposed by G.Zet in the Ref. [20,21], wherein this theory the action is invariant under the ordinary Lorentz transformation and the gauge field of the gravity in the SO(4, 1) group are denoted by e a µ , a = 0, 1, 2, 3 for the tetrad fields and ω ab µ (x) = −ω ba µ (x) for the spin connection with [ab]=[01],[02],[03], [12], [13], [23]. In this theory, if we preservative the NC spacetime and we based partly on implementing symmetries on flat NC spacetime, we get an NC gauge theory of gravity in curved spacetime.…”

Section: Non-commutative Gauge Gravity For Schwarzschild Black Holementioning

confidence: 99%

Thermodynamic Property of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity

Touati¹,

Zaim²

2022

Preprint

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In this paper, we constructed the deformed Schwarzschild black hole in the non-commutative (NC) gauge theory of gravity. Where the singularity at the origin is shifted by the non-commutativity to the finite radius r h = 2m and changed the spherical symmetry of the black hole to the ellipse symmetry (deformed the NC event horizon). The thermodynamics property of the NC black hole is analyzed. As a first step, we describe the Hawking temperature and the entropy of the NC Schwarzschild black hole, where the result shows a difference in the pole-equator temperature of the black hole, and give us a new scenario of the black hole evaporation. Our estimation for the NC parameter is close to the Planck scale Θ ≈ 2.257 × 10 −35 m. Then, the description of the ADM mass, the heat capacity, and the Gibbs free energy of the deformed black hole show the effect of the NC gauge theory on the thermodynamic stability and the phase transitions. Finally, we investigated the influence of the pressure of the black hole in the first law of thermodynamics on the stability and the phase transition of the Schwarzschild black hole in the NC spacetime, where the result shows that the NC parameter plays a similar role as the thermodynamical function and defined the critical point as the pressure in the modified first law of thermodynamics which means a second-order phase transition or a continuous one. The stability and the phase transition of the Schwarzschild black hole are affected by the non-commutativity.

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Section: Non-commutative Gauge Gravity For Schwarzschild Black Holementioning

confidence: 99%

Thermodynamic Property of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity

Touati¹,

Zaim²

2022

Preprint

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“…where λ is a real parameter. The integral of action associated to the gravitational gauge fields e a µ (x) and ω ab µ (x) will be chosen as [19]:…”

Section: Commutative Casementioning

confidence: 99%

On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity

Chaichian

Tureanu

Setare

et al. 2008

J. High Energy Phys.

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Deformed Reissner-Nordström, as well as Reissner-Nordström de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to second order in the noncommutativity parameter. The solutions reduce to the deformed Schwarzschild ones when the electric charge of the gravitational source and the cosmological constant vanish. Corrections to the thermodynamical quantities of the corresponding black holes and to the radii of different horizons have been determined. All the independent invariants, such as the Ricci scalar and the so-called Kretschmann scalar, have the same singularity structure as the ones of the usual undeformed case and no smearing of singularities occurs. The possibility of such a smearing is discussed. In the noncommutative case we have a local disturbance of the geometry around the source, although asymptotically at large distances it becomes flat.

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“…To illustrate the previous formalism of gauge-gravity [29,[38][39][40] for classical spacetimes, we use it now to obtain a commutative anti-de Sitter-Einstein-Born-Infeld black hole solution. The starting point is a gravitational gauge field with spherical symmetry given by the following Ansatz e 0 µ = (A, 0, 0, 0),…”

Section: A Commutative Adsebi Spacetime From Gauge Theory Of Gravitymentioning

confidence: 99%

Thermodynamical properties of a noncommutative anti–de Sitter–Einstein-Born-Infeld spacetime from gauge theory of gravity

2020

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We construct a deformed anti-de Sitter-Einstein-Born-Infeld black hole from noncommutative gauge theory of gravity and determine the metric coefficients up to second order on the noncommutative parameter. We analyse the modifications on the thermodynamical properties of the black hole due to the noncommutative contributions, and we show that noncommutativity has as a direct consequence, the removal of critical points.

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Solutions Without Singularities in Gauge Theory of Gravitation

Cited by 11 publications

References 6 publications

Thermodynamic Property of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity

Thermodynamic Property of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity

On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity

Thermodynamical properties of a noncommutative anti–de Sitter–Einstein-Born-Infeld spacetime from gauge theory of gravity

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