Search results for "General Relativity"
showing 10 items of 1057 documents
Horizons in a binary black hole merger II: Fluxes, multipole moments and stability
2020
We study in detail the dynamics and stability of marginally trapped surfaces during a binary black hole merger. This is the second in a two-part study. The first part studied the basic geometric aspects of the world tubes traced out by the marginal surfaces and the status of the area increase law. Here we continue and study the dynamics of the horizons during the merger, again for the head-on collision of two non-spinning black holes. In particular we follow the spectrum of the stability operator during the course of the merger for all the horizons present in the problem and implement systematic spectrum statistics for its analysis. We also study more physical aspects of the merger, namely …
Cosmic perturbation theory and inflation
2015
Tässä pro gradu -tutkielmassa olen käynyt läpi yhden skalaarikentän synnyttämän kosmisen inflaation teoriaa. Tätä varten olen opiskellut kosmista häiriöteoriaa joka tutkii Friedmann-Robertson-Walker -avaruusajan ympärille kehitettyjen häiriöiden kehitystä inflaation aikana. Kosmiset häiriöt riippuvat mitan valinnasta, joten olen esitellyt hyvin tunnetut mittainvariantit muuttujat, Mukhanovin-Sasakin muuttujan q sekä mukanaliikkuvan kaarevuushäiriön R. Lasken skalaari- ja tensorihäiriöiden tehospektrit sekä relevantit spektriparametrit. Lopuksi käyn läpi kaksi yksinkertaista esimerkkiä, potenssilaki-inflaatio sekä Higgs-inflaatio. In this thesis I have reviewed the basic theory of single sca…
"Table 25" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected upper limits on cross-section times branching fraction of Kaluza-Klein gluon decaying into top-quark pair as a function of the width of Kaluza-Klein gluon for masses of 5 TeV.
"Table 22" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected and observed upper limits on cross-section times branching fraction of Kaluza-Klein gluon decaying into top-quark pair as a function of the width of Kaluza-Klein gluon for masses of 1 TeV.
"Table 23" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected and observed upper limits on cross-section times branching fraction of Kaluza-Klein gluon decaying into top-quark pair as a function of the width of Kaluza-Klein gluon for masses of 1.5 TeV.
"Table 24" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected upper limits on cross-section times branching fraction of Kaluza-Klein gluon decaying into top-quark pair as a function of the width of Kaluza-Klein gluon for masses of 2 TeV.
"Table 21" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected and observed upper limits on cross-section times branching fraction of Kaluza-Klein gluon decaying into top-quark pair as a function of the width of Kaluza-Klein gluon for masses of 0.5 TeV.
Some Improvements on Relativistic Positioning Systems
2018
[EN] We make some considerations about Relativistic Positioning Systems (RPS). Four satellites are needed to position a user. First of all we define the main concepts. Errors should be taken into account. Errors depend on the Jacobian transformation matrix. Its Jacobian is proportional to the tetrahedron volume whose vertexes are the four tips of the receiver-satellite unit vectors. If the four satellites are seen by the user on a circumference in the sky, then, the Jacobian and the tetrahedron volume vanish. The users we consider are spacecraft. Spacecraft to be positioned cannot be close to a null Jacobian satellites-user configuration. These regions have to be avoided choosing an appropr…
Geometric inequivalence of metric and Palatini formulations of General Relativity
2020
Projective invariance is a symmetry of the Palatini version of General Relativity which is not present in the metric formulation. The fact that the Riemann tensor changes nontrivially under projective transformations implies that, unlike in the usual metric approach, in the Palatini formulation this tensor is subject to a gauge freedom, which allows some ambiguities even in its scalar contractions. In this sense, we show that for the Schwarzschild solution there exists a projective gauge in which the (affine) Kretschmann scalar, K≡R R , can be set to vanish everywhere. This puts forward that the divergence of curvature scalars may, in some cases, be avoided by a gauge transformation of the …
Violation of the equivalence principle from light scalar dark matter
2018
In this paper, we study the local observational consequences of a violation of the Einstein Equivalence Principle induced by models of light scalar Dark Matter (DM). We focus on two different models where the scalar field couples linearly or quadratically to the standard model of matter fields. For both these cases, we derive the solutions of the scalar field. We also derive from first principles the expressions for two types of observables: (i) the local comparison of two atomic sensors that are differently sensitive to the constants of Nature and (ii) the local differential acceleration between two test-masses with different compositions. For the linear coupling, we recover that the signa…