# Triple Path to the Exponential Metric

@article{Makukov2020TriplePT, title={Triple Path to the Exponential Metric}, author={Maxim Makukov and Eduard G. Mychelkin}, journal={Foundations of Physics}, year={2020}, volume={50}, pages={1346 - 1355} }

The exponential Papapetrou metric induced by scalar field conforms to observational data not worse than the vacuum Schwarzschild solution. Here, we analyze the origin of this metric as a peculiar space-time within a wide class of scalar and antiscalar solutions of the Einstein equations parameterized by scalar charge. Generalizing the three families of static solutions obtained by Fisher (Zhurnal Experimental’noj i Teoreticheskoj Fiziki 18:636, 1948), Janis et al. (Phys Rev Lett 20(16):878…

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## References

SHOWING 1-10 OF 17 REFERENCES

### On the stability of scalar-vacuum space-times

- Physics
- 2011

We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations…

### Scalar mesostatic field with regard for gravitational effects

- Physics
- 1948

(Foreword by translator.) The aim of present translation is to clarify the historically important question who was the pioneer in obtaining of exact static solutions of Einstein equations minimally…

### Simpler than vacuum: Antiscalar alternatives to black holes

- PhysicsPhysical Review D
- 2018

The Janis-Newman-Winicour and Papapetrou metrics represent counterparts to the Schwarzschild black hole with scalar and antiscalar background fields, correspondingly (where "anti" is to be understood…

### Exponential metric represents a traversable wormhole

- PhysicsPhysical Review D
- 2018

For various reasons a number of authors have mooted an "exponential form" for the spacetime metric: \[ ds^2 = - e^{-2m/r} dt^2 + e^{+2m/r}\{dr^2 + r^2(d\theta^2+\sin^2\theta \, d\phi^2)\}. \] While…

### Scalarized Raychaudhuri identity and its applications

- PhysicsPhysical Review D
- 2019

We show that the covariant Raychaudhuri identity describing kinematic characteristics of space-time admits a representation involving a geometrical scalar $\xi$ which, depending on circumstances,…

### New Approach to General Relativity

- Physics
- 1958

A generally covariant scalar field theony of gravitation is presented. The principle of equivalence as well as the principle of gcneral covalance are preserved. A functional solution of Einstein's…

### ROLE OF THE SCALAR FIELD IN GRAVITATIONAL LENSING

- Physics
- 1998

A static and circularly symmetric lens character- ized by mass and scalar charge parameters is constructed. For the small values of the scalar charge to the mass ratio, the gravitational lensing is…

### Einstein gravity coupled to a massless scalar field in arbitrary spacetime dimensions.

- Physics, MathematicsPhysical review. D, Particles and fields
- 1989

We obtain the exact static spherically symmetric solution of the coupled Einstein--massless-scalar-field equations for arbitrary spacetime dimensions. The general solution involves two parameters: it…

### Gravitation without black holes.

- Physics
- 1985

The Schwarzschild, Reissner-Nordstroem, and Kerr exterior solutions in general relativity are reconsidered adding to the vacuum a massless scalar field. The event horizons in the modified solutions…

### Essential Relativity: Special, General, and Cosmological (2nd edn) (Texts and Monographs in Physics)

- Physics
- 1978

W Rindler Berlin: Springer 1977 pp xv + 284 price $29.80 In this updated and expanded new edition, the author has achieved an outstanding survey of relativity theory and the associated cosmologies.…