New Approach to General Relativity

Yılmaz, Hüseyin

doi:10.1103/physrev.111.1417

Cited by 162 publications

(97 citation statements)

References 7 publications

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“…Einstein was the first to compose such a theory in which the velocity of light is a variable quantity that plays the role of the gravitational potential [40] and was also developed by Abraham [41]. Other stratified theories were composed by Papapetrou [42][43][44], Yilmaz [45,46], Whitrow and Morduch [47], Page and Tupper [48], Rosen [49], Ni [50,51], and Broekaert [52]. In Ni [50] a review of stratified scalar theories is given.…”

Section: Introductionmentioning

confidence: 99%

Stratified scalar field theories of gravitation with self-energy term and effective particle Lagrangian

Bragança

Lemos

2018

Eur. Phys. J. C

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Section: Introductionmentioning

confidence: 99%

Stratified scalar field theories of gravitation with self-energy term and effective particle Lagrangian

Bragança

Lemos

2018

Eur. Phys. J. C

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“…The case η = 0 is well know in the literature as the Yilmaz-Rosen space-time [16]. In this case M > η, the physical radius R is never zero.…”

Section: Naked Singularities Wormholes and Thementioning

confidence: 99%

Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry

Oliveira‐Neto¹,

Sousa²

2008

Braz. J. Phys.

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The Wyman's solution depends on two parameters, the mass M and the scalar charge σ. If one fixes M to a positive value, say M 0 , and let σ 2 take values along the real line it describes three different types of spacetimes. For σ 2 > 0 the spacetimes are naked singularities, for σ 2 = 0 one has the Schwarzschild black hole of mass M 0 and finally for −M 2 0 ≤ σ 2 < 0 one has wormhole spacetimes. In the present work, we shall study qualitative and quantitative features of orbits of massive particles and photons moving in the naked singularity and wormhole spacetimes of the Wyman solution. These orbits are the timelike geodesics for massive particles and null geodesics for photons. Combining the four geodesic equations with an additional equation derived from the line element, we obtain an effective potential for the massive particles and a different effective potential for the photons. We investigate all possible types of orbits, for massive particles and photons, by studying the appropriate effective potential. We notice that for certain naked singularities, there is an infinity potential wall that prevents both massive particles and photons ever to reach the naked singularity. We notice, also, that for certain wormholes, the potential is finite everywhere, which allows massive particles and photons moving from one wormhole asymptotically flat region to the other. We also compute the radial timelike and null geodesics for massive particles and photons, respectively, moving in the naked singularities and wormholes spacetimes.

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“…Subsequently Yilmaz published a more comprehensive theory in which the auxiliary field is a tensor [3][4][5][6][7][8]. In the case of a mass singularity, both theories give an 'exponential metric' with line element (1) …”

Section: Introductionmentioning

confidence: 99%

Cosmological test of the Yilmaz theory of gravity

Ibison

2006

Class. Quantum Grav.

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Abstract.We test the Yilmaz theory of gravitation by working out the corresponding Friedmanntype equations generated by assuming the Friedmann-Robertson-Walker cosmological metrics. In the case that space is flat the theory is consistent only with either a completely empty universe, or with a negative energy vacuum that decays to produce a constant density of matter. In both cases the total energy remains zero at all times, and in the latter case the acceleration of the expansion is always negative. To obtain a more flexible and potentially more realistic cosmology the equation of state relating the pressure and energy density of the matter creation process must be different from the vacuum, as for example is the case in the steady-state models of Gold, Bondi, Hoyle and others. The theory does not support the Cosmological Principle for curved space 0 K ≠ cosmological metrics.

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New Approach to General Relativity

Cited by 162 publications

References 7 publications

Stratified scalar field theories of gravitation with self-energy term and effective particle Lagrangian

Stratified scalar field theories of gravitation with self-energy term and effective particle Lagrangian

Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry

Cosmological test of the Yilmaz theory of gravity

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