Black holes in torsion bigravity

Nikiforova, Vasilisa; Damour, Thibault

doi:10.1103/physrevd.102.084027

Cited by 8 publications

(5 citation statements)

References 58 publications

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“…where R αµβν is the background Riemann tensor, is allowed in a Ricci-flat background, thus modifying the Fierz-Pauli mass term. Notice that this term is absent from the bimetric expansion around Minkowski (2.11), but, as highlighted in [47], may appear in ghost-free and tachyon-free torsion bigravity [48][49][50][51][52][53]. The latter is a type of generalized Einstein-Cartan theory with propagating torsion and importantly has a subclass with the same spectrum as ghost-free bimetric theory around Minkowski spacetime [54][55][56][57].…”

Section: Expanding Around Equal Backgroundsmentioning

confidence: 96%

Extracting Bigravity from String Theory

Lust,

Markou,

Mazloumi

et al. 2021

Preprint

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The origin of the graviton from string theory is well understood: it corresponds to a massless state in closed string spectra, whose low-energy effective action, as extracted from string scattering amplitudes, is that of Einstein-Hilbert. In this work, we explore the possibility of such a string-theoretic emergence of ghost-free bimetric theory, a recently proposed theory that involves two dynamical metrics, that around particular backgrounds propagates the graviton and a massive spin-2 field, which has been argued to be a viable dark matter candidate. By choosing to identify the latter with a massive spin-2 state of open string spectra, we compute tree-level three-point string scattering amplitudes that describe interactions of the massive spin-2 with itself and with the graviton. With the mass of the external legs depending on the string scale, we discover that extracting the corresponding low-energy effective actions in four spacetime dimensions is a subtle but consistent process and proceed to appropriately compare them with bimetric theory. Our findings consist in establishing that there can be a match between the string and the bimetric theory prediction in the case of two-derivative interactions of the graviton with two massive spin-2 states, unlike massive spin-2 cubic self-interactions, a fact that we analyze and interpret. We conclude with a mention of future investigations.

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Section: Expanding Around Equal Backgroundsmentioning

confidence: 96%

Extracting Bigravity from String Theory

Lust,

Markou,

Mazloumi

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…where R αµβν is the background Riemann tensor, is allowed in a Ricci-flat background, thus modifying the Fierz-Pauli mass term. Notice that this term is absent from the bimetric expansion around Minkowski (2.11), but, as highlighted in [60], may appear in ghost-free and tachyon-free torsion bigravity [61][62][63][64][65][66]. The latter is a type of generalized Einstein-Cartan theory with propagating torsion and importantly has a subclass with the same spectrum as ghost-free bimetric theory around Minkowski spacetime [67][68][69][70].…”

Section: Jhep12(2021)220mentioning

confidence: 96%

Extracting bigravity from string theory

Lüst

Markou

Mazloumi

et al. 2021

J. High Energ. Phys.

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The origin of the graviton from string theory is well understood: it corresponds to a massless state in closed string spectra, whose low-energy effective action, as extracted from string scattering amplitudes, is that of Einstein-Hilbert. In this work, we explore the possibility of such a string-theoretic emergence of ghost-free bimetric theory, a recently proposed theory that involves two dynamical metrics, that around particular backgrounds propagates the graviton and a massive spin-2 field, which has been argued to be a viable dark matter candidate. By choosing to identify the latter with a massive spin-2 state of open string spectra, we compute tree-level three-point string scattering amplitudes that describe interactions of the massive spin-2 with itself and with the graviton. With the mass of the external legs depending on the string scale, we discover that extracting the corresponding low-energy effective actions in four spacetime dimensions is a subtle but consistent process and proceed to appropriately compare them with bimetric theory. Our findings consist in establishing that string and bimetric theory provide to lowest order the same set of two-derivative terms describing the interactions of the massive spin-2 with itself and with the graviton, albeit up to numerical coefficient discrepancies, a fact that we analyze and interpret. We conclude with a mention of future investigations.

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“…Various aspects of exact or numerical solutions of the class II torsion gravity field equations it provides have been discussed in the litterature (see for instance refs. [18,19,22,27,28]). Here after we shall display some exact solutions of models of classes I and II, mainly in order to illustrate the differences between the two.…”

Section: Special Solutionsmentioning

confidence: 99%

“…. [27,28]. They rest on a static spherically symmetric geometry written in Schwarzschild coordinates :…”

Section: A Black-hole Solutionmentioning

confidence: 99%

Dynamical torsion gravity backgrounds

Spindel

2021

Preprint

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We write the field equations of torsion gravity theories and the Noether identity they obey directly in terms of metric and contorsion tensor components expressed with respect to natural coordinates, i.e. without using vierbien but Lagrange multipliers. Then we obtain explicit solutions of these equations, under specific ansätze for the contorsion field, by assuming the metric to be respectively of the Bertotti-Robinson, pp-wave, Friedmann-Lemaître-Robertson-Walker or static spherically symmetric type. Among these various solutions we obtain some of them have their contorsion tensor depending on arbitrary functions that didn't influence their geometry. This raises question about the predictability of the theory.À la mémoire de Jacques Hoeymans : un ami, physicien et rationaliste . . .

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Black holes in torsion bigravity

Cited by 8 publications

References 58 publications

Extracting Bigravity from String Theory

Extracting Bigravity from String Theory

Extracting bigravity from string theory

Dynamical torsion gravity backgrounds

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